Tata
Lectures on Motivic Aspects of Hodge Theory. Manuscript (revised
april 2009) 150 pp. TIFR-Lecture Notes on math. 92, Narosa Publ. Company
& AMS
(2010).
Algebraic Cycles and Motives, Edited by Jan Nagel Univ.
de Lille, Chris Peters, Univ. Joseph Fourier, Grenoble, April
2007
London Mathematical Society Lecture Note Series (No.
343) and (No.
344)
Abelian varieties and theta functions associated to
compact Riemannian
manifolds; constructions inspired by superstring theory
(with S.
Müller-Stach and V. Srinivas) (pdf)
Bloch-type conjectures
and an example of a
threefold of general type. Communications in
Contemporary Mathematics Volume No.12, Issue No. 4. (2010)
587-605 (pdf).
Automomorphs
of indefinite binary forms and K3-surfaces with Picard
number 2 (joint with Federica Galuzzi and Giuseppe
Lombardo).
Rendiconti Mat. Torino, Vol. 68 No. 1 (2010) 57-77 arXiv:0804.0725v1
or local .
Lowest
weights in cohomology of variations of mixed Hodge structure
(joint
with Morihiko Saito). Here
or the complete version and here arxiv:0708.0130v2
for a
first version. To appear in Nagoya Math. J.
Rigidity,
Past and Present, in: Proceedings of Teichmueller Theory
and Moduli
Problems (held at HRI, India in January 2006). Ramanujan
Mathematical
Society's
Lecture
Notes
Series
No. 10, (2010) 529-548
(pdf
)
.
Hodge
Theory: the search for purity, in: WSPC - Proceedings,
Trieste 2005
(together with J. Steenbrink)
(pdf ).
See
also this
page
Hodge
Number Polynomials for Nearby and Vanishing Cohomology
(together with
J. Steenbrink) (pdf )
Degeneration
of the Leray spectral sequence (together with J.
Steenbrink) (pdf )
Monodromy
of variations of Hodge structure (together with J. Steenbrink)
(pdf)
Introduction
to Lawson homology (together with S. Kosarew),
appeared in the above proceedings Transcendental Aspects of
Algebraic
Cycles (pdf)
Lawson
homology for varieties with small Chow groups and the induced
filtration of the Griffiths group (appeared in Math.
Zeitschrift 234
(2000) 209--223) (pdf)
Geography
of Spin surfaces (joint with U. Persson, X, Giao, Appeared in
Topology
1996) (pdf)
Teaching:
some course notes
Complex
Surfaces (english longer
version
with background, suitable for PhD students);