Higher Genus Curves in Mathematical Physics and Arithmetic 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 Higher Genus Curves in Mathematical Physics and Arithmetic Geometry write by Andreas Malmendier. This book was released on 2018-04-03. Higher Genus Curves in Mathematical Physics and Arithmetic Geometry available in PDF, EPUB and Kindle. This volume contains the proceedings of the AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, held on January 8, 2016, in Seattle, Washington. Algebraic curves and their fibrations have played a major role in both mathematical physics and arithmetic geometry. This volume focuses on the role of higher genus curves; in particular, hyperelliptic and superelliptic curves in algebraic geometry and mathematical physics. The articles in this volume investigate the automorphism groups of curves and superelliptic curves and results regarding integral points on curves and their applications in mirror symmetry. Moreover, geometric subjects are addressed, such as elliptic 3 surfaces over the rationals, the birational type of Hurwitz spaces, and links between projective geometry and abelian functions.
Higher Genus Curves in Mathematical Physics and Arithmetic Geometry
Higher Genus Curves in Mathematical Physics and Arithmetic 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 Higher Genus Curves in Mathematical Physics and Arithmetic Geometry write by Andreas Malmendier. This book was released on 2018. Higher Genus Curves in Mathematical Physics and Arithmetic Geometry available in PDF, EPUB and Kindle. This volume contains the proceedings of the AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, held on January 8, 2016, in Seattle, Washington. Algebraic curves and their fibrations have played a major role in both mathematical physics and arithmetic geometry. This volume focuses on the role of higher genus curves; in particular, hyperelliptic and superelliptic curves in algebraic geometry and mathematical physics. The articles in this volume investigate the automorphism groups of curves and superelliptic curves and results regarding inte.
Algebraic Curves
Algebraic Curves - 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 Algebraic Curves write by Maxim E. Kazaryan. This book was released on 2019-01-21. Algebraic Curves available in PDF, EPUB and Kindle. This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, including string theory, as well. The book begins by studying individual smooth algebraic curves, including the most beautiful ones, before addressing families of curves. Studying families of algebraic curves often proves to be more efficient than studying individual curves: these families and their total spaces can still be smooth, even if there are singular curves among their members. A major discovery of the 20th century, attributed to P. Deligne and D. Mumford, was that curves with only mild singularities form smooth compact moduli spaces. An unexpected byproduct of this discovery was the realization that the analysis of more complex curve singularities is not a necessary step in understanding the geometry of the moduli spaces. The book does not use the sophisticated machinery of modern algebraic geometry, and most classical objects related to curves – such as Jacobian, space of holomorphic differentials, the Riemann-Roch theorem, and Weierstrass points – are treated at a basic level that does not require a profound command of algebraic geometry, but which is sufficient for extending them to vector bundles and other geometric objects associated to moduli spaces. Nevertheless, it offers clear information on the construction of the moduli spaces, and provides readers with tools for practical operations with this notion. Based on several lecture courses given by the authors at the Independent University of Moscow and Higher School of Economics, the book also includes a wealth of problems, making it suitable not only for individual research, but also as a textbook for undergraduate and graduate coursework
Global Geometry and Mathematical Physics
Global Geometry and Mathematical Physics - 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 Global Geometry and Mathematical Physics write by L. Alvarez-Gaume. This book was released on 2006-11-14. Global Geometry and Mathematical Physics available in PDF, EPUB and Kindle.
Algebraic Geometry III
Algebraic Geometry III - 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 Algebraic Geometry III write by A.N. Parshin. This book was released on 2013-04-17. Algebraic Geometry III available in PDF, EPUB and Kindle. This two-part EMS volume provides a succinct summary of complex algebraic geometry, coupled with a lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion to the older classics on the subject.
