Derived categories of curves as components of Fano manifolds

Abstract

We prove that the derived category $D(C)$ of a generic curve of genus greater than one embeds into the derived category $D(M)$ of the moduli space $M$ of rank two stable bundles on $C$ with fixed determinant of odd degree.

20 pages; v2: exposition improved, some references added

Cited by in corpus (15)

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• Decompositions of moduli spaces of vector bundles and graph potentials
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• Semiorthogonal decomposition of ${\mathrm{D}}^b({\mathrm{Bun}}_2^L)$
• Vector fields and admissible embeddings for quiver moduli
• Derived category of moduli of parabolic bundles on ${\mathbb{P}}^1$
• Construction of noncommutative surfaces with exceptional collections of length 4
• Partial semiorthogonal decompositions for quiver moduli
• Positivity of the Poincaré bundle on the moduli space of vector bundles and its applications
• Smooth components on special iterated Hilbert schemes