K3-surfaces
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Automorphisms for K3 surfaces
- Michela Artebani, Alessandra Sarti: Non-symplectic
automorphisms of
order 3 on K3 surfaces ArXiv/math0801.3101
- Michela Artebani, Alessandra Sarti: Symmetries of order four on K3 surfaces arXiv:1102.4436
- Michela Artebani, Alessandra Sarti, Shingo Taki: K3 surfaces with
non-symplectic automorphisms of prime order (appendix by Shigeyuki
Kondo; to appear in Math. Z) arXiv:0903.3481
- Miranda C.N. Cheng: K3 Surfaces, N=4 Dyons, and the Mathieu Group M24 arXiv:1005.5415
- Jimmy Dillies: Order 6 non-symplectic automorphisms of K3 surfaces arXiv:0912.5228
- Igor Dolgachev, JongHae Keum: K3 surfaces with a
symplectic
automorphism of order 11, ArXiv/math/0602518
- Tohru Eguchi, Hirosi Ooguri, Yuji Tachikawa: Notes on the K3 Surface and the Mathieu group M_24 (Exper.Math.20:91-96, 2011) arXiv:1004.0956
- Kristina Frantzen, Alan Huckleberry: K3-surfaces with special
symmetry: An example of classification by Mori-reduction arXiv:0802.2481
- Kristina Frantzen: K3-surfaces with special symmetry (106 pages, Dissertation) arXiv:0902.3761 [pdf, ps, other]
- Kristina Frantzen: Classification of K3-surfaces with involution and
maximal symplectic symmetry (Math. Ann. (2011), vol. 350, no. 4, pp
757-791) arXiv:0906.1867 [
- Federica
Galluzzi, Giuseppe Lombardo: On the automorphisms of some $K3$
surface double cover of the plane arXiv:math/0512603
- Federica
Galluzzi, Giuseppe Lombardo: On automorphisms group of some K3
surfaces arXiv:math/0610972
- Federica
Galluzzi, Giuseppe Lombardo, Chris Peters: Automorphs of
indefinite
binary quadratic forms and K3-surfaces with Picard number 2 ArXiv/math/0804.0725
- Alice Garbagnati: The dihedral group $\Dh_5$ as group of
symplectic automorphisms on K3 surfaces ( to appear in Proc.
Amer. Math. Soc) arXiv:0812.4518
- Alice Garbagnati: Elliptic K3 surfaces with abelian and dihedral groups of symplectic automorphisms arXiv:0904.1519
- Alice Garbagnati, Alessandra Sarti: Symplectic automorphisms
of prime
order on K3 surfaces, J. of
Algebra
318 (2007) 323-350 ArXiv/math//0603742
- Alice Garbagnati, Alessandra Sarti: Elliptic fibrations and
symplectic
automorphisms on K3 surfaces ArXiv/math/0801.3992
- Alice Garbagnati, Alessandra Sarti: Kummer surfaces and K3 surfaces with (Z/2Z)^4 symplectic action arXiv:1305.3514
- Alice Garbagnati, Alessandra Sarti: On symplectic and non--symplectic automorphisms of K3 surfaces arXiv:1006.1604
- Alice Garbagnati, Matteo Penegini: K3 surfaces with a non-symplectic
automorphism and product-quotient surfaces with cyclic groups arXiv:1303.1653
- Bert van Geemen, Alessandra Sarti: Nikulin involutions on K3
surfaces, Math. Z. 255 (2007), no. 4, 731-753
ArXiv/math/0602015
- JongHae Keum: Orders of automorphisms of K3 surfaces arXiv:1203.5616
- JongHae Keum, Keiji Oguiso, De-Qi Zhang: Extensions of the alternating group of degree 6 in the geometry of K3 surfaces arXiv:math/0408105
- Alexei Kovalev, Nam-Hoon Lee: K3 surfaces with non-symplectic
involution and compact irreducible G_2-manifolds (Math. Proc.
Cambridge Philos. Soc. 151 (2011), 193-218) arXiv:0810.0957
- Ximin Liu, Nobuhiro Nakamura: Pseudofree Z/3-actions on K3
surfaces ArXiv/math/0604317
- Keiji Oguiso: A characterization of the Fermat quartic K3 surface by means of finite symmetries arXiv:math/0308062
- K. Oguiso: Automorphism groups in a family of K3 surfaces
arXiv:math/0104049
- K. Oguiso, De-Qi Zhang : The Simple Group of Order 168 and K3
Surfaces ArXiv/math/0011259
- K. Oguiso, D. -Q. Zhang: K3 surfaces with order 11
automorphisms ArXiv/math/9907020
- K. Oguiso, D. -Q. Zhang: On Vorontsov's theorem on K3 surfaces
(Proc. A.M.S. to appear) arXiv:math/9906006
- Alessandra Sarti: Group Actions, Cyclic Coverings and Families of K3-Surfaces arXiv:math/0409419
- Matthias Schuett: K3 surfaces with non-symplectic
automorphisms of 2-power order arXiv:0807.3708
- Matthias Schuett: K3 surfaces with an automorphism of order 11 arXiv:1208.4242 [pdf, ps, other]
- Shingo Taki: Classification of non-symplectic
automorphisms of order 3 on $K3$ surfaces (to appear in Math.
Nachr) arXiv:0802.1956
- Shingo Taki: Classification of non-symplectic automorphisms on K3
surfaces which act trivially on the Néron-Severi lattice (J.
Algebra 358 (2012), 16--26) arXiv:1009.4573
- Masashi Ujikawa: The automorphism group of the singular K3 surface
of discriminant 7(to appear in Comment. Math. Univ. St Paul) arXiv:1307.4197
- Ursula Whitcher: Symplectic automorphisms and the Picard group of a K3 surface (To appear in Communications in Algebra) arXiv:0902.0601
- De-Qi Zhang: Niemeier Lattices and K3 Groups arXiv:math/0408106
- D. -Q. Zhang: The Alternating Groups and K3 Surfaces ArXiv/math/0506610
- D. -Q. Zhang:Automorphisms of K3 surfaces arXiv:math/0506612
Chow groups and/or Derived categories and K3 surfaces
- Arnaud Beauville, Claire Voisin: The Chow ring of a K3 surface arXiv:math/0111146
- Shinobu Hosono, Bong H. Lian, Keiji Oguiso, Shing-Tung Yau:
Kummer structures on a K3 surface - An old question of T. Shioda arXiv:math/0202082
- Shinobu Hosono, Bong H. Lian, Keiji Oguiso, Shing-Tung Yau:
Fourier-Mukai number of a K3 surface (proceedings of "Workshop on
Algebraic Structures and Moduli Spaces" (Jul.14-20,2003 at CRM,
Montreal)) arXiv:math/0202014
- Shinobu Hosono, Bong H. Lian, Keiji Oguiso, Shing-Tung Yau:
Autoequivalences of Derived Category of A K3 Surface and Monodromy
Transformations arXiv:math/0201047
- Daniel Huybrechts: Derived and abelian equivalence of K3 surfaces (J. Alg. Geom. 17 (2008), 375-400) arXiv:math/0604150
- Daniel Huybrechts: Chow groups and derived categories of K3 surfaces arXiv:0912.5299 [pdf, ps, other]
- Daniel Huybrechts: On derived categories of K3 surfaces and Mathieu groups arXiv:1309.6528
- Daniel Huybrechts: Symplectic automorphisms of K3 surfaces of arbitrary order (Math. Res. Lett. 19 (2012), 947-951) arXiv:1205.3433
- Daniel Huybrechts, Emanuele Macri, Paolo Stellari: Derived equivalences of K3 surfaces and orientation arXiv:0710.1645
- Daniel Huybrechts, Paolo Stellari: Equivalences of twisted K3 surfaces (Math. Ann. 332 (2005), 901-936) arXiv:math/0409030
- Emanuele Macri, Paolo Stellari: Automorphisms and autoequivalences of generic analytic K3 surfaces (to appear in J. Geom. Phys) arXiv:math/0702848
- Alessio Del Padrone, Claudio Pedrini: Derived categories of coherent sheaves and motives of K3 surfaces arXiv:1105.4568
- Pawel Sosna: Derived equivalent conjugate K3 surfaces arXiv:0905.4333
Correspondences and K3 surfaces
-
Federica Galluzzi, Giuseppe Lombardo: Correspondences between K3
surfaces arXiv/math/0211129
- Bert van Geemen, Jaap Top: An isogeny of K3 surfaces arXiv:math/0309272
- Kenji Koike: Elliptic K3 surfaces admitting a Shioda-Inose structure arXiv:1104.1470
-
Carlo Madonna, Viacheslav V. Nikulin:On
a
classical correspondence between K3 surfaces arXiv/math/020615
-
Carlo Madonna, Viacheslav V. Nikulin:On
a
classical correspondence between K3 surfaces II arXiv/math/0304415
-
Carlo Madonna, Viacheslav V. Nikulin:On
a
classical correspondence between K3 surfaces III, arXiv/math/0605362
-
H. Onsiper, S. Sertoz: Generalized Shioda-Inose Structures on K3
Surfaces, arXiv/math/9809083
Curves on K3 surfaces
- Xi Chen: A Simple Proof that Rational Curves on K3 are Nodal arXiv:math/0011190
- Cindy De Volder, Antonio Laface: Linear systems on generic K3 surfaces arXiv:math/0309073
- Cindy De Volder, Antonio Laface: Recent results on linear systems on generic K3 surfaces arXiv:math/0409524
- Bert van Geemen: Some remarks on Brauer groups of K3 surfaces (To appear in Advances in Mathematics) arXiv:math/0408006
- Mihai Halic: Modular properties of nodal curves on K3 surfaces arXiv:0911.5474
- Junho Lee, Naichung Conan Leung: Counting Elliptic Curves in K3 Surfaces arXiv:math/0405041
- Sándor J Kovács: The cone of curves of K3 surfaces revisted arXiv:1309.5562
Elliptic fibrations on K3 surfaces
- E. Artal-Bartolo, H. Tokunaga, D.Q. Zhang: Miranda-Persson's problem on extremal elliptic K3 surfaces arXiv:math/9809065 Paola Comparin, Alice Garbagnati: Van Geemen--Sarti involutions
and elliptic fibrations on K3 surfaces double cover of $\mathbb{P}^2$ arXiv:1110.6380
- Alice Garbagnati, Alessandra Sarti: Elliptic fibrations and
symplectic automorphisms on K3 surfaces (To appear in Comm. in Algebra) arXiv:0801.3992
- Klaus Hulek, Matthias Schuett: Enriques Surfaces and jacobian elliptic K3 surfaces arXiv:0912.0608
- Remke Kloosterman: Classification of all Jacobian elliptic fibrations on certain K3 surfaces arXiv:math/0502070
- Abhinav Kumar: K3 surfaces associated with curves of genus two (Int. Math. Res. Not. (IMRN) 2008) arXiv:math/0701669
- Ronald van Luijk :An elliptic K3 surface associated to Heron triangles arXiv:math/0411606
- Viacheslav V. Nikulin: Elliptic fibrations on K3 surfaces arXiv:1010.3904
- Cecilia Salgado: On the rank of the fibers of elliptic K3 surfaces (Bull Braz Math Soc 42(4), 2011) arXiv:1307.3994
- Matthias Schuett: Elliptic fibrations of some extremal K3 surfaces arXiv:math/0412049
- Matthias Schuett: The maximal singular fibres of elliptic K3 surfaces (Arch. Math. 79, 4 (2006), pp. 309-319.) arXiv:math/0509540
- Matthias Schuett, Andreas Schweizer: On the uniqueness of elliptic
K3 surfaces with maximal singular fibre (Annales de l'institut Fourier,
63 no. 2 (2013), p. 689-713) arXiv:0712.3873
- Ichiro Shimada: On elliptic K3 surfaces arXiv:math/0505140
- Q.Ye: On Extremal Elliptic K3 Surfaces arXiv:math/9901081
Moduli for K3 surfaces, special families
Projective K3-surfaces with fixed polarization of degree d have a
quasi-projective moduli space, say Md. For large degree
d these are known to be of general type; for general results on
Kodaira
dimension of the moduli spaces Md see: V. Gritsenko, K. Hulek, G.K. Sankaran: The Kodaira dimension of the
moduli of K3 surfaces ArXiv/math/0607339
Other results on moduli spaces & special families:
- Sarah-Marie Belcastro: Picard lattices of families of K3 surfaces arXiv:math/9809008 [pdf, ps, other]
- Adrian Clingher, Charles F. Doran: Lattice Polarized K3
Surfaces and Siegel Modular Forms arXiv:1004.3503
- Igor V. Dolgachev, Shigeyuki Kondo: Moduli spaces of K3
surfaces and complex ball quotients arXiv:math/0511051
- Federica Galluzzi: A short note on cubic fourfolds containing a plane and K3 surfaces of Picard rank two arXiv:1304.5900 [pdf, ps, other]
- Shigeyuki Kondo: The moduli space of 5 points on P^1 and K3
surfaces arXiv:math/0507006
- Federica Galluzzi, Giuseppe Lombardo, Chris Peters: Automorphs of
indefinite binary quadratic forms and K3-surfaces with Picard number 2 arXiv:0804.0725
- Giuseppe Lombardo, Chris Peters, Matthias Schuett: Abelian
Fourfolds of Weil type and certain K3 Double Planes arXiv:1209.5997
- Shouhei Ma: 216. On K3 surfaces which dominate Kummer surfaces (to appear in Proc. Amer. Math. Soc) arXiv:0905.4107
- Afsaneh Mehran: Double covers of Kummer surfaces arXiv:math/0611752
- Hisanori Ohashi: On the number of Enriques quotients of a K3 surface (Publ. Res. Inst. Math. Sci., 43(2007), 181-200) arXiv:0909.5358
- Paolo Stellari: A finite group acting on the moduli space of
K3 surfaces (to appear in Trans. Amer. Math. Soc)
http://arxiv.org/abs/math/0505535
- Viacheslav V. Nikulin: Kahlerian K3 surfaces and Niemeier lattices arXiv:1109.2879
- Alessandra Sarti: Trascendental Lattices of some K3-surfaces arXiv:math/0505441
- Matthias Schuett: K3 surfaces with Picard rank 20 arXiv:0804.1558
- Ken-Ichi Yoshikawa: K3 surfaces with involution and Analytic
Torsion arXiv:math/9808129
- Ken-Ichi Yoshikawa: K3 surfaces with involution, equivariant
analytic torsion, and automorphic forms on the moduli space II a
structure theorem for r(M)>10 arXiv:1007.2830
- Ken-Ichi Yoshikawa: K3 surfaces with involution, equivariant
analytic torsion, and automorphic forms on the moduli space III:
the case r(M)\geq18 arXiv:1007.2841
- D. -Q. Zhang: Quotients of K3 Surfaces Modulo Involutions (Japanese J. Mathematics, to appear) arXiv:math/9905193
Relations with group theory:
-
Richard E. Borcherds: Coxeter groups, Lorentzian lattices, and
K3
surfaces, arXiv/math/9806141
- Sarti, A.:
A geometrical construction for the polynomial invariants of some reflection groups, Serdica Math. J., 31, pp. 229-242, 2005
- Sarti, A:
Group Actions, cyclic
coverings and families of K3-surfaces, Canad. Math. Bull. 49 (4), 2006 pp.
592-608