 |


|
 |
Item Details
Title:
|
RESOLUTION OF SINGULARITIES
|
By: |
Steven Dale Cutkosky |
Format: |
Hardback |

List price:
|
£87.00 |
We believe that this item is permanently unavailable, and so we cannot source
it.
|
|
|
|
|
ISBN 10: |
0821835556 |
ISBN 13: |
9780821835555 |
Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
Pub. date: |
1 May, 2004 |
Series: |
Graduate Studies in Mathematics No. 63 |
Pages: |
186 |
Description: |
The notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic mappings is a fundamental problem. This book offers a look at resolutions. Explaining the tools needed for understanding resolutions, it explains the history and ideas, providing an insight and intuition for the novice. |
Synopsis: |
The notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic mappings is truly a fundamental problem. It has a complete solution in characteristic zero and partial solutions in arbitrary characteristic. The resolution of singularities in characteristic zero is a key result used in many subjects besides algebraic geometry, such as differential equations, dynamical systems, number theory, the theory of $\mathcal{D}$-modules, topology, and mathematical physics. This book is a rigorous, but instructional, look at resolutions.A simplified proof, based on canonical resolutions, is given in this book for characteristic zero. There are several proofs given for resolution of curves and surfaces in characteristic zero and arbitrary characteristic. Besides explaining the tools needed for understanding resolutions, Cutkosky explains the history and ideas, providing valuable insight and intuition for the novice (or expert). There are many examples and exercises throughout the text. The book is suitable for a second course on an exciting topic in algebraic geometry. A core course on resolutions is contained in Chapters 2 through 6.Additional topics are covered in the final chapters. The prerequisite is a course covering the basic notions of schemes and sheaves. |
Publication: |
US |
Imprint: |
American Mathematical Society |
Returns: |
Returnable |
|
|
|
 |


|

|

|

|

|
No Cheese, Please!
A fun picture book for children with food allergies - full of friendship and super-cute characters!Little Mo the mouse is having a birthday party.

|
My Brother Is a Superhero
Luke is massively annoyed about this, but when Zack is kidnapped by his arch-nemesis, Luke and his friends have only five days to find him and save the world...

|

|

|
|
 |