Results 21 to 30 of about 45,702 (171)
Intersection Cohomology and Severi Varieties
, 2023 Let $X^{2n}\subseteq \mathbb{P} ^N$ be a smooth projective variety. Consider the intersection cohomology complex of the local system $R^{2n-1} {_*}\mathbb{Q}$, where $ $ denotes the projection from the universal hyperplane family of $X^{2n}$ to ${(\mathbb{P} ^N)}^{\vee}$.
Di Gennaro V., Franco D.
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Macaulay matrix for Feynman integrals: linear relations and intersection numbers
Journal of High Energy Physics, 2022 We elaborate on the connection between Gel’fand-Kapranov-Zelevinsky systems, de Rham theory for twisted cohomology groups, and Pfaffian equations for Feynman Integrals.
Vsevolod Chestnov +6 more
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Symplectic Cohomology and q-Intersection Numbers [PDF]
Geometric and Functional Analysis, 2012 32 pages, 9 figures, expanded introduction, added details of example 7.5, added discussion of ...
Seidel, Paul, Solomon, Jake P.
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Duals of Feynman Integrals. Part II. Generalized unitarity
Journal of High Energy Physics, 2022 The first paper of this series introduced objects (elements of twisted relative cohomology) that are Poincaré dual to Feynman integrals. We show how to use the pairing between these spaces — an algebraic invariant called the intersection number — to ...
Simon Caron-Huot, Andrzej Pokraka
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THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS
Forum of Mathematics, Sigma, 2020 For a split reductive group $G$ over a finite field, we show that the intersection (cohomology) motive of the moduli stack of iterated $G$-shtukas with bounded modification and level structure is defined independently of the standard conjectures on ...
TIMO RICHARZ, JAKOB SCHOLBACH
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Intersection cohomology of the moduli space of Higgs bundles on a genus 2 curve
, 2021 Let $C$ be a smooth projective curve of genus $2$. Following a method by O' Grady, we construct a semismall desingularization $\tilde{\mathcal{M}}_{Dol}^G$ of the moduli space $\mathcal{M}_{Dol}^G$ of semistable $G$-Higgs bundles of degree 0 for $G=GL(2,\
Felisetti, Camilla
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A remark on generalized complete intersections
Nuclear Physics B, 2017 We observe that an interesting method to produce non-complete intersection subvarieties, the generalized complete intersections from L. Anderson and coworkers, can be understood and made explicit by using standard Cech cohomology machinery.
Alice Garbagnati, Bert van Geemen
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The primitive cohomology lattice of a complete intersection [PDF]
, 2009 We describe the primitive cohomology lattice of a smooth even-dimensional complete intersection in projective ...
Beauville, Arnaud
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Hodge theory for intersection space cohomology [PDF]
Geometry & Topology, 2019 Given a perversity function in the sense of intersection homology theory, the method of intersection spaces assigns to certain oriented stratified spaces cell complexes whose ordinary reduced homology with real coefficients satisfies Poincar duality across complementary perversities. The resulting homology theory is well-known not to be isomorphic to
Banagl, Markus, Hunsicker, Eugénie
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Intersection cohomology of reductive varieties
Journal of the European Mathematical Society, 2004 We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmetric varieties that includes equivariant compactifications of reductive groups. Thereby, we extend a well-known algorithm for toric varieties.
Brion, Michel, Joshua, Roy
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