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Author: Lebarz
Publisher: Springer Science & Business Media
ISBN: 1468467263
Category : Mathematics
Languages : en
Pages : 261
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Book Description
Ce. volume. u.t fioJtme de. la Ve. M-ion de6~ve. du .te.x.tu du cOn6Vte.n.cV6 fia-i.tu a N-ice. au cowu., d' un CoUoque. qu-i f.>' Ij u.t .te.n.u du 23 au 27 Ju-in 1981. Comme. Ie. f.>ugge. ILe. Mn ~e., Ie. f.>uje.t, volon.t~e.me.n.t ILU.tfLe.-in.t, gfLav-i.ta-i.t gILof.>f.>o-modo au.toulL du upacu pILoje.c.t-i6f.> de. pe.t-i.te. d-ime.n f.>-ion e.t du co UfLbe.f.>, ce.la f.>UfL un COfLpf.> aigebfL-ique.me.n.t elM. Ii f.>e.mble. que. ce. cho-ix deUbVte a-i.t Ue b-ie.n accu~ danf.> I' e.nf.>e.mble. pM lu pa. Jt:ttupan.tf.>. Le. Colloque. a IL(LMe.mble une. M-ixan.ta-in.e. de. f.>peu~.tu ve.n.uf.> de. d-i66eILe.n.tf.> paljf.> e.t nouf.> noUf.> f.>ommu e.n pa. Jt:ttcuUe.fL ILejo~ de. l'-im pofL.tan.te. pa. Jt:ttc-ipatio n de. nof.> vo~-inf.> -i.taUe.nf.>. Le. pIL06Uf.>e. UfL VIEuVONNE n'aljaYt.t paf.> pu pa. Jt:ttupe.fL au colloque.
Author: Lebarz
Publisher: Springer Science & Business Media
ISBN: 1468467263
Category : Mathematics
Languages : en
Pages : 261
Get Book Here
Book Description
Ce. volume. u.t fioJtme de. la Ve. M-ion de6~ve. du .te.x.tu du cOn6Vte.n.cV6 fia-i.tu a N-ice. au cowu., d' un CoUoque. qu-i f.>' Ij u.t .te.n.u du 23 au 27 Ju-in 1981. Comme. Ie. f.>ugge. ILe. Mn ~e., Ie. f.>uje.t, volon.t~e.me.n.t ILU.tfLe.-in.t, gfLav-i.ta-i.t gILof.>f.>o-modo au.toulL du upacu pILoje.c.t-i6f.> de. pe.t-i.te. d-ime.n f.>-ion e.t du co UfLbe.f.>, ce.la f.>UfL un COfLpf.> aigebfL-ique.me.n.t elM. Ii f.>e.mble. que. ce. cho-ix deUbVte a-i.t Ue b-ie.n accu~ danf.> I' e.nf.>e.mble. pM lu pa. Jt:ttupan.tf.>. Le. Colloque. a IL(LMe.mble une. M-ixan.ta-in.e. de. f.>peu~.tu ve.n.uf.> de. d-i66eILe.n.tf.> paljf.> e.t nouf.> noUf.> f.>ommu e.n pa. Jt:ttcuUe.fL ILejo~ de. l'-im pofL.tan.te. pa. Jt:ttc-ipatio n de. nof.> vo~-inf.> -i.taUe.nf.>. Le. pIL06Uf.>e. UfL VIEuVONNE n'aljaYt.t paf.> pu pa. Jt:ttupe.fL au colloque.
Author:
Publisher:
ISBN: 9783764631062
Category :
Languages : en
Pages : 0
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Book Description
Author: 3Island Press
Publisher:
ISBN: 9781468467277
Category :
Languages : en
Pages : 268
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 252
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Book Description
Author: Sheldon Katz
Publisher: American Mathematical Soc.
ISBN: 0821836870
Category : Mathematics
Languages : en
Pages : 226
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Book Description
Perhaps the most famous example of how ideas from modern physics have revolutionized mathematics is the way string theory has led to an overhaul of enumerative geometry, an area of mathematics that started in the eighteen hundreds. Century-old problems of enumerating geometric configurations have now been solved using new and deep mathematical techniques inspired by physics! The book begins with an insightful introduction to enumerative geometry. From there, the goal becomes explaining the more advanced elements of enumerative algebraic geometry. Along the way, there are some crash courses on intermediate topics which are essential tools for the student of modern mathematics, such as cohomology and other topics in geometry. The physics content assumes nothing beyond a first undergraduate course. The focus is on explaining the action principle in physics, the idea of string theory, and how these directly lead to questions in geometry. Once these topics are in place, the connection between physics and enumerative geometry is made with the introduction of topological quantum field theory and quantum cohomology.
Author: Igor V. Dolgachev
Publisher: Cambridge University Press
ISBN: 1107017653
Category : Mathematics
Languages : en
Pages : 653
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Book Description
This detailed exposition makes classical algebraic geometry accessible to the modern mathematician.
Author: Federico Binda
Publisher: American Mathematical Soc.
ISBN: 147044898X
Category : Education
Languages : en
Pages : 267
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Book Description
This volume contains the proceedings of the Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry, held from May 14–18, 2018, at the Universität Duisburg-Essen, Essen, Germany. It constitutes an accessible yet swift introduction to a new and active area within algebraic geometry, which connects well with classical intersection theory. Combining both lecture notes aimed at the graduate student level and research articles pointing towards the manifold promising applications of this refined approach, it broadly covers refined enumerative algebraic geometry.
Author: Renzo Cavalieri
Publisher: Springer Nature
ISBN: 3031394011
Category : Mathematics
Languages : en
Pages : 163
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Book Description
This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021. Logarithmic Gromov-Witten theory lies at the heart of modern approaches to mirror symmetry, but also opens up a number of new directions in enumerative geometry of a more classical flavour. Tropical geometry forms the calculus through which calculations in this subject are carried out. These notes cover the foundational aspects of this tropical calculus, geometric aspects of the degeneration formula for Gromov-Witten invariants, and the practical nuances of working with and enumerating tropical curves. Readers will get an assisted entry route to the subject, focusing on examples and explicit calculations.
Author: Emma Previato
Publisher: American Mathematical Soc.
ISBN: 082182810X
Category : Mathematics
Languages : en
Pages : 310
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Book Description
Our knowledge of objects of algebraic geometry such as moduli of curves, (real) Schubert classes, fundamental groups of complements of hyperplane arrangements, toric varieties, and variation of Hodge structures, has been enhanced recently by ideas and constructions of quantum field theory, such as mirror symmetry, Gromov-Witten invariants, quantum cohomology, and gravitational descendants. These are some of the themes of this refereed collection of papers, which grew out of the special session, ``Enumerative Geometry in Physics,'' held at the AMS meeting in Lowell, MA, April 2000. This session brought together mathematicians and physicists who reported on the latest results and open questions; all the abstracts are included as an Appendix, and also included are papers by some who could not attend. The collection provides an overview of state-of-the-art tools, links that connect classical and modern problems, and the latest knowledge available.
Author: Mauro Beltrametti
Publisher: European Mathematical Society
ISBN: 9783037190647
Category : Mathematics
Languages : en
Pages : 512
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Book Description
This book offers a wide-ranging introduction to algebraic geometry along classical lines. It consists of lectures on topics in classical algebraic geometry, including the basic properties of projective algebraic varieties, linear systems of hypersurfaces, algebraic curves (with special emphasis on rational curves), linear series on algebraic curves, Cremona transformations, rational surfaces, and notable examples of special varieties like the Segre, Grassmann, and Veronese varieties. An integral part and special feature of the presentation is the inclusion of many exercises, not easy to find in the literature and almost all with complete solutions. The text is aimed at students in the last two years of an undergraduate program in mathematics. It contains some rather advanced topics suitable for specialized courses at the advanced undergraduate or beginning graduate level, as well as interesting topics for a senior thesis. The prerequisites have been deliberately limited to basic elements of projective geometry and abstract algebra. Thus, for example, some knowledge of the geometry of subspaces and properties of fields is assumed. The book will be welcomed by teachers and students of algebraic geometry who are seeking a clear and panoramic path leading from the basic facts about linear subspaces, conics and quadrics to a systematic discussion of classical algebraic varieties and the tools needed to study them. The text provides a solid foundation for approaching more advanced and abstract literature.
