Skip to main content

Introduction

  • 1086 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1972)

Since we have explained the background and the motivation of the study in Preface, we will explain our problems and results, which are actually investigated in this monograph.

In Section 1.1, we explain the problems. In Section 1.2, we discuss the main issues for construction of invariants. In Section 1.3, transition formulas are stated under an assumption which makes the problems much simpler. They are enough for the study of invariants in the rank 2 case, and the results are explained in Section 1.4. Generalization to the higher rank case is discussed in Section 1.5. We explain how to use master spaces for our problems in Section 1.6.

Keywords

  • Line Bundle
  • Chern Class
  • Ample Line Bundle
  • Transition Formula
  • Master Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Takuro Mochizuki .

Rights and permissions

Reprints and Permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Mochizuki, T. (2009). Introduction. In: Donaldson Type Invariants for Algebraic Surfaces. Lecture Notes in Mathematics(), vol 1972. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-93913-9_1

Download citation