Dirac Geometry I: Commutative Algebra
نویسندگان
چکیده
Abstract The purpose of this paper and its sequel is to develop the geometry built from commutative algebras that naturally appear as homology differential graded and, more generally, homotopy in spectra. question are those symmetric monoidal category abelian groups, being commutative, they form affine building blocks a geometry, rings algebraic geometry. We name Dirac because grading exhibits hallmarks spin it remnant internal structure encoded by anima , distinguishes anti-symmetric behavior, coherent cohomology schemes stacks, which we sequel, admits half-integer Serre twists. Thus, informally, constitutes “square root” $$\mathbb {G}_m$$ G m -equivariant
منابع مشابه
Commutative Algebra I
1 A compilation of two sets of notes at the University of Kansas; one in the Spring of 2002 by ?? and the other in the Spring of 2007 by Branden Stone. These notes have been typed
متن کاملDerived Algebraic Geometry III: Commutative Algebra
1 ∞-Operads 4 1.1 Basic Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 Fibrations of ∞-Operads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.3 Algebra Objects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.4 Cartesian Monoidal Structures . . . . . . . . . . ....
متن کاملExperiments in Commutative Algebra and Algebraic Geometry
This is an extended set of lecture notes for the course given by the author at the CoCoA school in Sardegna in May, 2005. These notes are not intended to be exhaustive. Instead, the goal is to present the student with an overview of certain areas of algebraic geometry and commutative algebra which are extremely active, and to start seeing how almost all of the constructions and theory can be ca...
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ژورنال
عنوان ژورنال: Peking mathematical journal
سال: 2023
ISSN: ['2524-7182', '2096-6075']
DOI: https://doi.org/10.1007/s42543-023-00072-6