Results 1 to 10 of about 51 (51)
Chern currents of coherent sheaves [PDF]
Épijournal de Géométrie Algébrique, 2022 Given a finite locally free resolution of a coherent analytic sheaf $\mathcal F$, equipped with Hermitian metrics and connections, we construct an explicit current, obtained as the limit of certain smooth Chern forms of $\mathcal F$, that represents the ...
Richard Lärkäng, Elizabeth Wulcan
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Log $\mathscr{D}$-modules and index theorems
Forum of Mathematics, Sigma, 2021 We study log $\mathscr {D}$-modules on smooth log pairs and construct a comparison theorem of log de Rham complexes. The proof uses Sabbah’s generalized b-functions.
Lei Wu, Peng Zhou
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Complex Manifolds, 2022 In this work we show that the Weil-Petersson volume (which coincides with the CM degree) in the case of weighted points in the projective line is continuous when approaching the Calabi-Yau geometry from the Fano geometry. More specifically, the CM volume
Tambasco Salvatore
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Double Schubert polynomials do have saturated Newton polytopes
Forum of Mathematics, Sigma, 2023 We prove that double Schubert polynomials have the saturated Newton polytope property. This settles a conjecture by Monical, Tokcan and Yong. Our ideas are motivated by the theory of multidegrees.
Federico Castillo +3 more
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THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME
Forum of Mathematics, Sigma, 2019 The Chern–Schwartz–MacPherson class of a hypersurface in a nonsingular variety may be computed directly from the Segre class of the Jacobian subscheme of the hypersurface; this has been known for a number of years.
PAOLO ALUFFI
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Regularization of closed positive currents and intersection theory
Complex Manifolds, 2017 We prove the existence of a closed regularization of the integration current associated to an effective analytic cycle, with a bounded negative part.
Méo Michel
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Noether-Lefschetz cycles on the moduli space of abelian varieties
Forum of Mathematics, PiThe locus of nonsimple abelian varieties in the moduli space of principally polarized abelian varieties gives rise to Noether-Lefschetz cycles. We study their intersection theoretic properties using the tautological projection constructed in [4], and ...
Aitor Iribar López
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Развиващото се понятие за индекс на кратност като инвариант в теория на особеностите
, 2022 [Rangachev Antoni; Рангачев Антони]We survey results on the multiplicity of a complex analytic variety at a point and its generalizations as numerical invariants in singularity theory.
Rangachev, Antoni
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Zero-dimensional Schemes on Abelian Surfaces
, 1994 . The moduli spaces of semistable torsion-free sheaves with c 1 = 0 and c 2 = \Gamma2 and \Gamma3 over a principally polarised complex torus are described explicitly in terms of zero-dimensional subschemes of the torus.
Antony Maciocia
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Arithmetic Transfer for inner forms of $GL_{2n}$
Forum of Mathematics, SigmaWe formulate Guo–Jacquet type fundamental lemma conjectures and arithmetic transfer conjectures for inner forms of $GL_{2n}$ . Our main results confirm these conjectures for division algebras of invariant $1/4$ and $3/4$ .
Qirui Li, Andreas Mihatsch
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