Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Mourougane, Christophe"'
Publikováno v:
Forum of Mathematics, Pi (2022) 10, E19
The mathematical physicists Bershadsky-Cecotti-Ooguri-Vafa (BCOV) proposed, in a seminal article from '94, a conjecture extending genus zero mirror symmetry to higher genera. With a view towards a refined formulation of the Grothendieck-Riemann-Roch
Externí odkaz:
http://arxiv.org/abs/1911.06734
Publikováno v:
Duke Math. J. 170, no. 3 (2021), 379-454
Calabi--Yau manifolds have risen to prominence in algebraic geometry, in part because of mirror symmetry and enumerative geometry. After Bershadsky--Cecotti--Ooguri--Vafa (BCOV), it is expected that genus 1 curve counting on a Calabi--Yau manifold is
Externí odkaz:
http://arxiv.org/abs/1809.05452
Publikováno v:
Algebraic Geometry 5 (6) (2018) 742-775
We consider degenerations of complex projective Calabi--Yau varieties and study the singularities of $L^2$, Quillen and BCOV metrics on Hodge and determinant bundles. The dominant and subdominant terms in the expansions of the metrics close to non-sm
Externí odkaz:
http://arxiv.org/abs/1611.03017
Publikováno v:
Algebra and Representation Theory vol 22-issue 1 (2019) 239-247
Let $G$ be an almost simple simply-connected affine algebraic group over an algebraically closed field $k$ of characteristic $p > 0$. If $G$ has type $B_n$, $C_n$ or $F_4$, we assume that $p > 2$, and if $G$ has type $G_2$, we assume that $p > 3$. Le
Externí odkaz:
http://arxiv.org/abs/1507.03026
Publikováno v:
Pub. Res. Inst. Math. Sci. 55-2 (2019) 283-318
It is known that the cotangent bundle $\Omega_Y$ of an irreducible Hermitian symmetric space $Y$ of compact type is stable. Except for a few obvious exceptions, we show that if $X \subset Y$ is a complete intersection such that $Pic(Y) \to Pic(X)$ is
Externí odkaz:
http://arxiv.org/abs/1504.03853
Publikováno v:
Bulletin de la soci\'et\'e math\'ematique de France, 2017, 145 (1), pp.1-27
We compute the hessian of the natural Hermitian form successively on the Calabi family of a hyperk\"ahler manifold, on the twistor space of a 4-dimensional anti-self-dual Riemannian manifold and on the twistor space of a quaternionic K\"ahler manifol
Externí odkaz:
http://arxiv.org/abs/1202.0183
Autor:
Mourougane, Christophe
Publikováno v:
Journal of the European Mathematical Society, European Mathematical Society, 2012, 14 (3), pp.911-936
We show that general moving enough families of high enough degree hypersurfaces in a complex projective space do not have a dominant set of sections.
Externí odkaz:
http://arxiv.org/abs/0910.1435
This is a technical introduction to the paper "Extension of twisted Hodge metrics for Kahler morphisms" by the authors.
Comment: To appear in the proceedings of the RIMS meeting "Bergman kernel and its applications to algebraic geometry"
Comment: To appear in the proceedings of the RIMS meeting "Bergman kernel and its applications to algebraic geometry"
Externí odkaz:
http://arxiv.org/abs/0809.3222
Publikováno v:
J. Differential Geom. Volume 83, Number 1 (2009), 131-161
Let f : X --> Y be a holomorphic map of complex manifolds, which is proper, Kahler, and surjective with connected fibers, and which is smooth over Y-Z the complement of an analytic subset Z. Let E be a Nakano semi-positive vector bundle on X, and con
Externí odkaz:
http://arxiv.org/abs/0809.3221
Publikováno v:
Annales scientifiques de l'\'Ecole Normale Sup\'erieure, S\'erie 4 : Volume 41 (2008) no. 6 , p. 905-924
Using the harmonic theory developed by Takegoshi for representation of relative cohomology and the framework of computation of curvature of direct images bundles by Berndtsson, we prove that the higher direct images by a smooth morphism of the relati
Externí odkaz:
http://arxiv.org/abs/0707.3551