-
Restricted volumes and non-Kähler Locus on Moishezon
manifolds. Joint with Mihai Paun. Preprint 9 p.
- Line bundles and flat connections. Joint with Indranil Biswas. Proc. Indian Acad. Sci., Math. Sci. 127 (2017).
- Moduli of canonically polarized manifolds, higher order
Kodaira-Spencer maps, and an analogy to Calabi-Yau manifolds,
arXiv:1702.07628,
in Uniformization, Riemann-Hilbert Correspondence,
Calabi-Yau Manifolds, and Picard-Fuchs Equations. ALM42
(2018), pp. 371-401.
-
Moduli spaces of quiver bundles. Journal
of Geometry and Physics, 118 (2017) 51-66. Joint with
Indranil Biswas, article.
-
A criterion for a degree-one holomorphic map to be a
biholomorphism. Joint with Gautam Bharali, and Indranil
Biswas.
Complex Variables and Elliptic Equations, DOI:
10.1080/17476933.2016.1252342, arXiv:1610.06286
- An extension theorem for Hermitian
line bundles. Analytic and Algebraic Geometry, 225-237,
Hindustan Book Agency, New Delhi, 2017, arXiv:1507.06195,
article.
- Curvature of higher direct
image sheaves. Joint with Thomas Geiger. In honour of Professor Yujiro
Kawamata’s sixtieth birthday.
Advanced Studies in Pure Mathematics 74, 171-184 (2017), arXiv:1501.07070.
- Kähler structure on Hurwitz spaces, joint with
Reynir Axelsson and Indranil Biswas,
Manuscr. Math. 147, No. 1-2, 63-79 (2015),
arXiv:1502.02384.
- Deligne pairing and Quillen metric. Joint with
Indranil Biswas.
Int.
J. Math. 25, No. 14, Article ID 1450122, 13 p. (2014).
arXiv:1501.02539
- Curvature properties for moduli of canonically polarized
manifolds – an analogy to moduli of Calabi-Yau manifolds.
(Propriétés de courbure des modules des variétés
canoniquement polarisées-une analogie avec les modules des
variétés de Calabi-Yau.)
C.
R., Math., Acad. Sci. Paris 352, No. 10, 835-840 (2014).
- Positivity of relative canonical bundles and applications.
56 p., Inventiones Math. ("online first", 13 January 2012)
DOI: 10.1007/s00222-012-0374-7. Preprint.
Invent. Math. 190, No. 1, 1-56 (2012)
Invent. Math. 192, No. 1, 253-255 (2013).
- Deligne pairing and determinant bundle. Joint
with Indranil Biswas, and Lin Weng.
Preprint arXiv:1106.0255,
ERA Math. Sci. 18,
91-96 (2011).
- Variation of geodesic length functions over
Teichmüller space; joint with Reynir Axelsson.
Preprint,
arXiv:1006.2966, Ann.
Acad. Sci. Fenn. Math. 37,
91-106 (2012).
and applications) arXiv:1002.4858.- Multiplier ideal sheaves in algebraic and complex
geometry. Abstracts from the workshop held April 12th--April
18th, 2009. Oberwolfach
Rep. 6, 1101-1156
(2009) joint with Kebekus, Stefan (ed.);
Paun, Mihai (ed.); Siu, Yum-Tong (ed.)
- Vector bundles on Sasakian manifolds, joint
with
Indranil Biswas.
Preprint,
arXiv:0809.3892. Adv.
Theor. Math. Phys. 14, No. 2, 541-562 (2010).
- Positivity of relative canonical bundles of families of
canonically polarized manifolds.
Preprint,
arXiv:0808.3259.
- Coupled vortex
equations and Moduli: Deformation theoretic Approach and
Kaehler Geometry,
Math.
Ann. 343, No. 4, 825-851 (2009). Preprint, arXiv:0808.3260.
- Geometric Approach to the Weil-Petersson Symplectic Form, Comment. Math. Helv. 85, No. 2, 243-257 (2010); joint with Reynir Axelsson. Preprint, arXiv:0808.3741
- Weil-Petersson geometry
for families of hyperbolic conical Riemann Surfaces; joint
with Stefano Trapani. Preprint,
arXiv:0809.0058 Mich.
Math. J. 60, No. 1, 3-33 (2011).
- Yang-Mills equation for stable Higgs sheaves,
Int.
J. Math. 20, No. 5, 541-556 (2009); joint with
Indranil Biswas. Preprint,
arXiv:0803.4435.
- Tangent bundle of hypersurfaces in
J.
K-Theory 4, No. 1, 91-100 (2009).
- Numerically effectiveness and principal bundles on Kähler
manifolds,
Ann.
Glob. Anal. Geom. (2008) 34:153–165; joint with
Indranil Biswas.
- Geometry of the moduli space of Higgs bundles,
Comm.
Anal. Geom. 14 (2006), 765--793; joint
with Indranil Biswas. Preprint,
arXiv:math/0605589
- Kähler structure on the moduli spaces of principal
G-bundles,
Differential
Geometry and its Applications 25 (2007) 136–146
joint with Indranil Biswas. Preprint in PS
format preprint
in pdf format
- Kähler geometry of Douady spaces.
manuscripta
math. 121 (2006), 277–291; joint with Reynir
Axelsson. Preprint
- Kähler geometry of moduli spaces, in Catanese, Esnault,
Huckleberry, Hulek, Peternell, (ed.) Global aspects of complex
geometry. Berlin: Springer. viii, 506~p. (2006).
Preprint
- On the stability of the tangent
bundle of a hypersurface in a Fano variety.
J.
Math. Kyoto Univ. 45, No. 4, 851-860 (2005)
; joint with Indranil Biswas. Preprint
- Variation of cone metrics on Riemann surfaces,
J. Math. Anal. Appl. 311 (2005) 218-230;
joint with Stefano Trapani.
- Quasi-projectivity of moduli spaces of polarized
varieties,
Annals
of Mathematics, 159 (2004), 597–639;
joint with Hajime Tsuji. Preprint in PS
format Preprint
in pdf format.
- Moduli as algebraic spaces, Complex
analysis in several variables---Memorial Conference of Kiyoshi
Oka's Centennial Birthday, 283--288, Adv. Stud. Pure Math., 42,
Math. Soc. Japan, Tokyo, 2004. Preprint
in PS format Preprint
on pdf format
- Estimates of Weil-Petersson volumes via
effective divisors; joint with Stefano Trapani.
math.AG/0005094,
Commun.
Math. Phys. 222, No.1, 1-7 (2001).
- On a characterization of finite vector bundles as vector
bundles admitting a flat connection with finite monodromy group.
Proc.
Amer. Math. Soc. 128 (2000), 3661-3669; joint
with Indranil Biswas and Yogish I. Holla. Preprint
- The diameter of plane curves, Compos.
Math. 119, No.3, 331-334 (1999); joint
with Shih Tsai Feng.
Article
in PS format.
- Determinant bundle, Quillen metric, and
Petersson-Weil form on moduli spaces,
GAFA, Geom. Funct. Anal. 9, No.2, 226-255 (1999);
joint with Indranil Biswas. Article
in (gzipped) PS format.
- A generalized Petersson-Weil metric on the
Douady space of embedded manifolds,
(memorial volume M. Schneider) ; joint with Indranil Biswas. Article
in PS format.
- Moduli of framed manifolds,
Invent.
Math. 134, No.2, 229-249 (1998). Article
in pdf format.
- Asymptotics of Kähler-Einstein Metrics -
Negativity of the holomorphic sectional curvature close to
infinity,
Doc.
Math., J. DMV 7, 653-658 (2002). Article
in dvi format,.Article
in pdf format.
- The theory of Teichmüller spaces, a view
towards moduli spaces of Kähler manifolds, in Complex manifolds,
Barth, W., Narasimhan, R. edts. 251--310, 2nd
edition 1998, Russian translation in Itogi Nauki Tekh., Ser.
Sovrem. Probl. Mat., Fundam. Napravleniya 69, 278-345
Preprint
- Asymptotics of Kähler-Einstein metrics on
quasi-projective manifolds and an extension theorem on
holomorphic maps,
Math.
Ann. 311, No.4, 631-645 (1998). Article
in pdf format, Article
in (gzipped) PS format.
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April 2016