An algorithm computes exact volumes of semi-algebraic convex bodies to arbitrary precision via periods represented by linear DEs, with convexity reducing creative telescoping steps exponentially.
Grayson and Michael E
4 Pith papers cite this work. Polarity classification is still indexing.
representative citing papers
Proves a conjectured isomorphism of arithmetic complexes to make stable sheaf cohomology identifications uniform for specific Schur functors on projective space over integers.
Constructs combinatorial deformation functor Def_Σ isomorphic to locally trivial deformations of toric variety X_Σ under hypotheses on completeness, smoothness in codim 2 and Q-factoriality in codim 3, enabling explicit computations and classification of unobstructed cases.
Lightning self-attention coefficients are coordinates on an algebraic variety obeying Chow-type, low-rank, Veronese-type, and Sylvester-resultant invariants.
citing papers explorer
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Exact Volumes of Semi-Algebraic Convex Bodies
An algorithm computes exact volumes of semi-algebraic convex bodies to arbitrary precision via periods represented by linear DEs, with convexity reducing creative telescoping steps exponentially.
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A Uniform Identification of Stable Sheaf Cohomology
Proves a conjectured isomorphism of arithmetic complexes to make stable sheaf cohomology identifications uniform for specific Schur functors on projective space over integers.
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Locally Trivial Deformations of Toric Varieties
Constructs combinatorial deformation functor Def_Σ isomorphic to locally trivial deformations of toric variety X_Σ under hypotheses on completeness, smoothness in codim 2 and Q-factoriality in codim 3, enabling explicit computations and classification of unobstructed cases.
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Algebraic Invariants of Lightning Self-Attention
Lightning self-attention coefficients are coordinates on an algebraic variety obeying Chow-type, low-rank, Veronese-type, and Sylvester-resultant invariants.