This can be the second one a part of a sequence of papers referred to as ""HAG"", dedicated to constructing the principles of homotopical algebraic geometry. The authors commence by means of defining and learning generalizations of normal notions of linear algebra in an summary monoidal version class, comparable to derivations, etale and soft morphisms, flat and projective modules, and so forth. They then use their concept of stacks over version different types to outline a common suggestion of geometric stack over a base symmetric monoidal version classification $C$, and turn out that this suggestion satisfies the predicted homes.

Show description

Read or Download Homotopical Algebraic Geometry II: Geometric Stacks and Applications (Memoirs of the American Mathematical Society) (v. II) PDF

Similar Algebraic Geometry books

Essays in Constructive Mathematics

Contents and remedy are clean and intensely assorted from the normal remedies provides a completely optimistic model of what it capability to do algebra The exposition is not just transparent, it really is pleasant, philosophical, and thoughtful even to the main naive or green reader

Ramanujan's Lost Notebook: Part II (Pt. 2)

Within the spring of 1976, George Andrews of Pennsylvania country collage visited the library at Trinity collage, Cambridge, to ascertain the papers of the past due G. N. Watson. between those papers, Andrews came upon a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript was once quickly distinctive "Ramanujan's misplaced computing device.

Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach (Undergraduate Texts in Mathematics)

It is a publication approximately leading numbers, congruences, mystery messages, and elliptic curves that you should learn conceal to hide. It grew out of undergr- uate classes that the writer taught at Harvard, UC San Diego, and the college of Washington. The systematic learn of quantity idea was once initiated round 300B.

Hilbert

"It offers a delicate portrait of an outstanding person. It describes safely and intelligibly on a nontechnical point the realm of mathematical principles within which Hilbert created his masterpieces. And it illuminates the history of German social background opposed to which the drama of Hilberts lifestyles was once performed.

Additional info for Homotopical Algebraic Geometry II: Geometric Stacks and Applications (Memoirs of the American Mathematical Society) (v. II)

Show sample text content

Rated 4.85 of 5 – based on 8 votes