Facets of Algebraic Geometry: Volume 2

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Release : 2022-04-07
Genre : Mathematics
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Book Rating : 547/5 ( reviews)

Facets of Algebraic Geometry: Volume 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Facets of Algebraic Geometry: Volume 2 write by Paolo Aluffi. This book was released on 2022-04-07. Facets of Algebraic Geometry: Volume 2 available in PDF, EPUB and Kindle. Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.

Facets of Algebraic Geometry: Volume 1

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Release : 2022-04-07
Genre : Mathematics
Kind :
Book Rating : 539/5 ( reviews)

Facets of Algebraic Geometry: Volume 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Facets of Algebraic Geometry: Volume 1 write by Paolo Aluffi. This book was released on 2022-04-07. Facets of Algebraic Geometry: Volume 1 available in PDF, EPUB and Kindle. Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the first of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured topics include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.

Facets of Algebraic Geometry

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Author :
Release : 2022
Genre : MATHEMATICS
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Book Rating : 855/5 ( reviews)

Facets of Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Facets of Algebraic Geometry write by Paolo Aluffi. This book was released on 2022. Facets of Algebraic Geometry available in PDF, EPUB and Kindle. "Let X be a complex nonsingular variety with globally generated tangent bundle. We prove that the signed Segre-MacPherson (SM) class of a constructible function on X with effective characteristic cycle is effective. This observation has a surprising number of applications to positivity questions in classical situations, unifying previous results in the literature and yielding several new results. We survey a selection of such results in this paper. For example, we prove general effectivity results for SM classes of subvarieties which admit proper (semi-)small resolutions and for regular or affine embeddings. Among these, we mention the effectivity of (signed) Segre-Milnor classes of complete intersections if X is projective and an alternation property for SM classes of Schubert cells in flag manifolds; the latter result proves and generalizes a variant of a conjecture of Feh'er and Rim'anyi. Among other applications we prove the positivity of Behrend's Donaldson-Thomas invariant for a closed subvariety of an abelian variety and the signed-effectivity of the intersection homology Chern class of the theta divisor of a non-hyperelliptic curve; and we extend the (known) nonnegativity of the Euler characteristic of perverse sheaves on a semi-abelian variety to more general varieties dominating an abelian variety"--

Methods of Algebraic Geometry: Volume 2

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Release : 1994-05-19
Genre : Mathematics
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Book Rating : 015/5 ( reviews)

Methods of Algebraic Geometry: Volume 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Methods of Algebraic Geometry: Volume 2 write by W. V. D. Hodge. This book was released on 1994-05-19. Methods of Algebraic Geometry: Volume 2 available in PDF, EPUB and Kindle. All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.

Integrable Systems and Algebraic Geometry: Volume 2

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Release : 2020-04-02
Genre : Mathematics
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Book Rating : 337/5 ( reviews)

Integrable Systems and Algebraic Geometry: Volume 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrable Systems and Algebraic Geometry: Volume 2 write by Ron Donagi. This book was released on 2020-04-02. Integrable Systems and Algebraic Geometry: Volume 2 available in PDF, EPUB and Kindle. Created as a celebration of mathematical pioneer Emma Previato, this comprehensive second volume highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.