Computing \(\mathbb{A}^1\)-Euler numbers with Macaulay2

DOI10.1007/s40687-023-00392-0zbMath1521.14103arXiv2003.01775OpenAlexW4380148041MaRDI QIDQ6162755

Sabrina Pauli

Publication date: 16 June 2023

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01775

zbMATH Keywords

Euler numbersMacaulay2\(\mathbb{A}^1\)-enumerative geometry

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Other nonalgebraically closed ground fields in algebraic geometry (14G27) Classical problems, Schubert calculus (14N15) Motivic cohomology; motivic homotopy theory (14F42)

Related Items (2)

On quadratically enriched excess and residual intersections ⋮ Bézoutians and the \(\mathbb{A}^1\)-degree

Cites Work

• Abundance of 3-planes on real projective hypersurfaces
• An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
• The Poincaré series of some special quasihomogeneous surface singularities
• The class of Eisenbud-Khimshiashvili-Levine is the local \(\mathbb{A}^1\)-Brouwer degree
• An arithmetic enrichment of Bézout's theorem
• Intrinsic signs and lower bounds in real algebraic geometry
• 3264 and All That
• MOTIVIC EULER CHARACTERISTICS AND WITT-VALUED CHARACTERISTIC CLASSES
• EULER CLASSES: SIX-FUNCTORS FORMALISM, DUALITIES, INTEGRALITY AND LINEAR SUBSPACES OF COMPLETE INTERSECTIONS
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