Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form

DOI10.1090/S0002-9947-2013-05633-4zbMath1328.14010arXiv1009.0148OpenAlexW2964325680WikidataQ115285441 ScholiaQ115285441MaRDI QIDQ2847119

Wei Li, Chun-Ming Yuan, Xiao-Shan Gao

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0148

zbMATH Keywords

intersection theorydifferential resultantdimension conjecturedifferential Chow formdifferential algebraic cycledifferential Chow varietydifferential Stickelberger's theoremgeneric differential polynomial

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Parametrization (Chow and Hilbert schemes) (14C05) Derivations and commutative rings (13N15) Differential algebra (12H05) Computational aspects in algebraic geometry (14Q99)

Related Items

The Differential Dimension Polynomial for Characterizable Differential Ideals, Some open problems related to creative telescoping, Toric difference variety, Bertini theorems for differential algebraic geometry, Differential elimination by differential specialization of Sylvester style matrices, Computation of differential Chow forms for ordinary prime differential ideals, Partial differential Chow forms and a type of partial differential Chow varieties, Chow form for projective differential variety, Binomial difference ideals, Sparse difference resultant, Elimination theory in differential and difference algebra, Elimination of unknowns for systems of algebraic differential-difference equations, Unirational differential curves and differential rational parametrizations, Index reduction of differential algebraic equations by differential Dixon resultant, Difference Chow form, Matrix Formulae of Differential Resultant for First Order Generic Ordinary Differential Polynomials, Sparse differential resultant for Laurent differential polynomials

Uses Software

• ISOLATE

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