Search Results for author: Pieter Belmans

Found 3 papers, 1 papers with code

Decompositions of moduli spaces of vector bundles and graph potentials

no code implementations11 Sep 2020 Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay

We discuss some evidence for, and furthermore propose semiorthogonal decompositions with additional structure.

Algebraic Geometry Geometric Topology Quantum Algebra Symplectic Geometry

Derived categories of the Cayley plane and the coadjoint Grassmannian of type F

no code implementations5 May 2020 Pieter Belmans, Alexander Kuznetsov, Maxim Smirnov

A general hyperplane section of the Cayley plane is the coadjoint Grassmannian of Dynkin type $\mathrm{F}_4$.

Algebraic Geometry Representation Theory Symplectic Geometry

Examples violating Golyshev's canonical strip hypotheses

2 code implementations20 Jun 2018 Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay

We give the first examples of smooth Fano and Calabi-Yau varieties violating the (narrow) canonical strip hypothesis, which concerns the location of the roots of Hilbert polynomials of polarised varieties.

Algebraic Geometry 14J45, 14J32, 14D20

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