Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Calabi–Yau and fractional Calabi–Yau categories
View through CrossRef
Abstract
We discuss Calabi–Yau and fractional Calabi–Yau semiorthogonal components of derived categories of coherent sheaves on smooth projective varieties.
The main result is a general construction of a fractional Calabi–Yau category from a rectangular Lefschetz decomposition and a spherical functor.
We give many examples of applications of this construction and discuss some general properties of Calabi–Yau categories.
Walter de Gruyter GmbH
Title: Calabi–Yau and fractional Calabi–Yau categories
Description:
Abstract
We discuss Calabi–Yau and fractional Calabi–Yau semiorthogonal components of derived categories of coherent sheaves on smooth projective varieties.
The main result is a general construction of a fractional Calabi–Yau category from a rectangular Lefschetz decomposition and a spherical functor.
We give many examples of applications of this construction and discuss some general properties of Calabi–Yau categories.
Related Results
On pre-Calabi-Yau categories
On pre-Calabi-Yau categories
Sur les catégories de pre-Calabi-Yau
Dans cette thèse, nous étudions les catégories de pré-Calabi-Yau et leurs morphismes.Nous développons pour cela un outil nous p...
Métriques de Calabi-Yau et valuations K-stables sur les variétés sphériques affines
Métriques de Calabi-Yau et valuations K-stables sur les variétés sphériques affines
La présente thèse constitue une première étape vers une classification en termes de valuations des métriques de Calabi-Yau complètes à croissance de volume maximale sur les espaces...
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
Complete Calabi–Yau metrics from smoothing Calabi–Yau complete intersections
Complete Calabi–Yau metrics from smoothing Calabi–Yau complete intersections
AbstractWe construct complete Calabi–Yau metrics on non-compact manifolds that are smoothings of an initial complete intersection $$V_0$$
V
...
Landau–Ginzburg/Calabi–Yau correspondence for a complete intersection via matrix factorizations
Landau–Ginzburg/Calabi–Yau correspondence for a complete intersection via matrix factorizations
Correspondance de Landau-Ginzburg/Calabi-Yau pour une intersection complète par factorisation matricielle
En généralisant la correspondance de Landau–Ginzburg/Calab...
Fractionally Calabi-Yau lattices
Fractionally Calabi-Yau lattices
Ensemble ordonnés Calabi-Yau fractionnaires
Dans cette thèse nous étudions la propriété Calabi-Yau fractionnaire sur des treillis. Nous commençons par introduire de...
Positivity of the (co)tangent sheaf and of Chern classes
Positivity of the (co)tangent sheaf and of Chern classes
Positivité du faisceau (co)tangent et des classes de Chern
Cette thèse participe à la description de certaines variétés complexes projectives à diviseur anticanoniq...
Sphere Partition Function of Calabi–Yau GLSMs
Sphere Partition Function of Calabi–Yau GLSMs
AbstractThe sphere partition function of Calabi–Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kähler potential of the Kähler moduli space of a Calabi–Y...