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Results tagged with ag.algebraic-geometry
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user 94696
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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Map from local systems to holomorphic line bundles on a curve
Let $X$ be a Riemann surface of genus $g > 0$. Let $S$ denote the set of local systems (locally constant sheaves) on $X$ with fiber $\mathbb{C}$. $S$ is in natural bijection with $H^1(X, \underline{\m …
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Irreducibility of Gelfand-Serganova strata
Here is an explicit example. There are examples of realization spaces of matroids (which are, up to a torus quotient, Gelfand-Serganova strata in the Grassmannian) which are disconnected. I believe th …
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What's known about the matroid induced by the Plücker coordinates of the representation of a...
The matroid you're considering is the direct sum of the matroids where you take the $k$th wedge power, so it suffices to study those for each $k$.
The question of whether, for an abstract matroid $M$, …
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4
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Accepted
Road map and references for combinatorial Hodge theory
Note that "combinatorial Hodge theory" can be in the context of fans (as in the work of Karu), Coxeter groups (as in the work of Elias and Williamson), or matroids. While there are certain common tech …
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Set-theoretic generation by circuit polynomials
Daoji Huang and I proved here that if the circuit polynomials are squarefree, then they generate the ideal (and in fact are a universal Grobner basis).
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