scholarly journals Atiyah classes with values in the truncated cotangent complex

2013 ◽  
Vol 286 (13) ◽  
pp. 1305-1325
Author(s):  
Fabian Langholf
Keyword(s):  
Cotangent Complex

An application of the cotangent complex to regularity and complete intersection

1999 ◽  
Vol 27 (12) ◽  
pp. 6167-6173
Author(s):  
María J. Vale
Keyword(s):  
Complete Intersection ◽  
Cotangent Complex

scholarly journals On the rigidity of the cotangent complex at the prime 2

2009 ◽  
Vol 213 (7) ◽  
pp. 1224-1238
Author(s):  
James M. Turner
Keyword(s):  
Cotangent Complex ◽  
Prime 2

scholarly journals The Koszul Complex is the Cotangent Complex

2011 ◽  
Vol 2012 (3) ◽  
pp. 607-650 ◽  
Author(s):  
Joan Millès
Keyword(s):  
Koszul Complex ◽  
Cotangent Complex

scholarly journals The cotangent complex of a morphism

1967 ◽  
Vol 128 (1) ◽  
pp. 41-41 ◽  
Author(s):  
S. Lichtenbaum ◽  
M. Schlessinger
Keyword(s):  
Cotangent Complex

scholarly journals Vanishing theorems for representation homology and the derived cotangent complex

2019 ◽  
Vol 19 (1) ◽  
pp. 281-339 ◽  
Author(s):  
Yuri Berest ◽  
Ajay Ramadoss ◽  
Wai-kit Yeung
Keyword(s):  
Vanishing Theorems ◽  
Cotangent Complex

scholarly journals Moduli of products of stable varieties

2013 ◽  
Vol 149 (12) ◽  
pp. 2036-2070 ◽  
Author(s):  
Bhargav Bhatt ◽  
Wei Ho ◽  
Zsolt Patakfalvi ◽  
Christian Schnell
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Minimal Model ◽  
Complex Numbers ◽  
Model Program ◽  
Minimal Model Program ◽  
Cotangent Complex ◽  
Geometric Methods ◽  
Local Results

AbstractWe study the moduli space of a product of stable varieties over the field of complex numbers, as defined via the minimal model program. Our main results are: (a) taking products gives a well-defined morphism from the product of moduli spaces of stable varieties to the moduli space of a product of stable varieties; (b) this map is always finite étale; and (c) this map very often is an isomorphism. Our results generalize and complete the work of Van Opstall in dimension$1$. The local results rely on a study of the cotangent complex using some derived algebro-geometric methods, while the global ones use some differential-geometric input.

scholarly journals A non-commutative differential module approach to Alexander modules

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Aristides Kontogeorgis ◽  
Panagiotis Paramantzoglou
Keyword(s):  
Commutative Ring ◽  
Differential Module ◽  
Cotangent Complex ◽  
Galois Coverings ◽  
Differential Modules

Abstract The theory of R. Crowell on derived modules is approached within the theory of non-commutative differential modules. We also seek analogies to the theory of cotangent complex from differentials in the commutative ring setting. Finally, we give examples motivated from the theory of Galois coverings of curves.

scholarly journals Spectra in model categories and applications to the algebraic cotangent complex

1997 ◽  
Vol 120 (1) ◽  
pp. 77-104 ◽  
Author(s):  
Stefan Schwede
Keyword(s):  
Model Categories ◽  
Cotangent Complex

scholarly journals The abstract cotangent complex and Quillen cohomology of enriched categories

2018 ◽  
Vol 11 (3) ◽  
pp. 752-798 ◽  
Author(s):  
Yonatan Harpaz ◽  
Joost Nuiten ◽  
Matan Prasma
Keyword(s):  
Cotangent Complex ◽  
Enriched Categories
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