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Quadratic refinements in algebraic geometry

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Virtual Localization in equivariant Witt cohomology

Author(s): Marc Levine
Published in: arXiv, 2022
Publisher: arXiv

The chow weight structure for geometric motives of quotient stacks

Author(s): Aranaha, Dhyan; Chowdhury, Chirantan
Published in: arxiv, 2023
Publisher: arxiv

Motivic Homotopy Theory of Algebraic Stacks

Author(s): Chirantan Chowdhury
Published in: arxiv, 2021
Publisher: arxiv

Localization theorems for algebraic stacks

Author(s): Dhyan Aranha, A. Khan, A. Latyntsev, H. Park, C. Ravi
Published in: arxiv, 2022
Publisher: arxiv

Combing a hedgehog over a field

Author(s): Ananyevskiy, Alexey; Levine, Marc
Published in: arxiv, 2023
Publisher: arxiv

Hermitian K-theory of Grassmannians

Author(s): Rohrbach, Herman
Published in: arxiv, 2023
Publisher: arxiv

Motivic characteristic classes for singular schemes

Author(s): Azouri, Ran
Published in: arxiv, 2022
Publisher: arxiv

Bézoutians and the 1-degree

Author(s): Thomas Brazelton, Stephen McKean, Sabrina Pauli
Published in: arXiv, 2021
Publisher: arXiv

Arithmetic Counts of Tropical Plane Curves and Their Properties

Author(s): Puentes, Andrés Jaramillo; Markwig, Hannah; Pauli, Sabrina; Röhrle, Felix
Published in: arxiv, 2023
Publisher: arxiv

Quadratically Enriched Tropical Intersections

Author(s): Andrés Jaramillo Puentes, Sabrina Pauli
Published in: arxiv, 2022
Publisher: arxiv

The Intrinsic Normal Cone For Artin Stacks

Author(s): Dhyan Aranha, Piotr Pstrągowski
Published in: arXiv, 2019
Publisher: arXiv

A Gersten complex on real schemes

Author(s): Jin, Fangzhou; Xie, Heng
Published in: arXiv, 2020
Publisher: arXiv

On Atiyah-Segal completion for T-equivariant Hermitian K-theory

Author(s): Herman Rohrbach
Published in: arXiv, 2022
Publisher: arXiv

A relative orientation for the moduli space of stable maps to a del Pezzo surface

Author(s): Kass, Jesse Leo; Levine, Marc; Solomon, Jake P.; Wickelgren, Kirsten
Published in: arxiv, 2023
Publisher: arxiv

Quadratic Counts of Twisted Cubics

Author(s): Marc Levine, Sabrina Pauli
Published in: arxiv, 2022
Publisher: arxiv

Orienting the Hilbert scheme of points on a spin threefold

Author(s): Levine, Marc
Published in: arxiv, 2023
Publisher: arxiv

A quadratically enriched count of rational curves

Author(s): Kass, Jesse Leo; Levine, Marc; Solomon, Jake P.; Wickelgren, Kirsten
Published in: arxiv, 2023
Publisher: arxiv

Motivic Euler Characteristic of Nearby Cycles and a Generalized Quadratic Conductor Formula

Author(s): Ran Azouri
Published in: arXiv, 2021
Publisher: arXiv

A Quadratically Enriched Correspondence Theorem

Author(s): Puentes, Andrés Jaramillo; Pauli, Sabrina
Published in: arxix, 2022
Publisher: arxiv

Atiyah-Bott localization in equivariant Witt cohomology

Author(s): Marc Levine
Published in: arxiv, 2022
Publisher: arxiv

Local terms of the motivic Verdier pairing

Author(s): Jin, Fangzhou
Published in: arxiv, 2020
Publisher: arxiv

A Wall Crossing Formula for Motivic Enumerative Invariants

Author(s): Jaramillo Puentes, Andrés
Published in: arxiv, 2024
Publisher: arxiv

Atiyah-Segal completion for the Hermitian K-theory of Symplectic Groups

Author(s): Hornbostel, Jens; Rohrbach, Herman; Zibrowius, Marcus
Published in: arxiv, 2023
Publisher: arxiv

Six-Functor Formalisms I : Constructing functors using category of simplices

Author(s): Chowdhury, Chirantan
Published in: arxiv, 2023
Publisher: arxiv

Trace maps in motivic homotopy and local terms

Author(s): Jin, Fangzhou
Published in: Trans. Amer. Math. Soc. Ser. B, Issue 11 (2024), 2024, Page(s) 215–247, ISSN 2330-0000
Publisher: Amer. Math. Soc.
DOI: 10.1090/btran/169

Euler characteristics of homogeneous and weighted-homogeneous hypersurfaces

Author(s): Marc Levine, Simon Pepin Lehalleur, Vasudevan Srinivas
Published in: Adv. Math., Issue 441 (2024), 2024, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2024.109556

Algebraic elliptic cohomology and flops II: SL-cobordism

Author(s): Marc Levine; Yaping Yang; Gufang Zhao
Published in: Adv. Math, Issue 384, 2021, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2021.107726

The intrinsic stable normal cone

Author(s): Marc Levine
Published in: Algebraic Geometry, Issue 8 (5) (2021), 2021, Page(s) 518–561, ISSN 2313-1691
Publisher: Foundation Compositio Mathematics
DOI: 10.14231/ag-2021-016

Algebraic cobordism and étale cohomology

Author(s): Elmanto, Elden; Levine, Marc; Spitzweck, Markus; Østvær, Paul Arne
Published in: Geom. Topol., Issue 26(2)(2022), no. 2, 2022, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2022.26.477

On the rational motivic homotopy category

Author(s): Frédéric Déglise, Jean Fasel, Fangzhou Jin, Adeel A. Khan
Published in: Journal de l’École polytechnique — Mathématiques, Issue 8, 2021, Page(s) 533-583, ISSN 2429-7100
Publisher: École polytechnique
DOI: 10.5802/jep.153

Aspects of Enumerative Geometry with Quadratic Forms

Author(s): Marc Levine
Published in: Documenta Mathematica, Issue 25, 2020, Page(s) 2179-2239, ISSN 1431-0635
Publisher: Deutsche Mathematiker-Vereinigung
DOI: 10.25537/dm.2020v25.2179-2239

On some finiteness results in real étale cohomology

Author(s): Jin, Fangzhou
Published in: Bull. London Math. Soc., 2022, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.12563

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