Commutative algebra and its interactions to algebraic geometry :
نام عام مواد
[Book]
ساير اطلاعات عنواني
VIASM 2013-2014 /
نام نخستين پديدآور
Nguyen Tu Cuong, Le Tuan Hoa, Ngo Viet Trung, editors.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham, Switzerland :
نام ناشر، پخش کننده و غيره
Springer,
تاریخ نشرو بخش و غیره
[2018]
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (ix, 256 pages) :
ساير جزييات
illustrations
فروست
عنوان فروست
Lecture notes in mathematics,
مشخصه جلد
2210
شاپا ي ISSN فروست
0075-8434 ;
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references.
یادداشتهای مربوط به مندرجات
متن يادداشت
Notes on Weyl algebra and D-modules / Markus Brodmann -- Inverse systems of local rings / Juan Elias -- Lectures on the representation type of a projective variety / Rosa M. Miró-Roig -- Simplicial toric varieties which are set-theoretic complete intersections / Marcel Morales.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
"This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014. The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way. The second lecture concerns local systems, their homological origin, and applications to the classification of Artinian Gorenstein rings and the computation of their invariants. The third lecture is on the representation type of projective varieties and the classification of arithmetically Cohen-Macaulay bundles and Ulrich bundles. Related topics such as moduli spaces of sheaves, liaison theory, minimal resolutions, and Hilbert schemes of points are also covered. The last lecture addresses a classical problem: how many equations are needed to define an algebraic variety set-theoretically? It systematically covers (and improves) recent results for the case of toric varieties"--Print version, page 4 of cover.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Springer Nature
شماره انبار
com.springer.onix.9783319755656
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Commutative algebra and its interactions to algebraic geometry.