Algebraic curves : towards Moduli spaces /: towards Moduli spaces. (2018)

• Record Type: Book
• Further Information: Note: Maxim E. Kazaryan, Sergei K. Lando, Victor V. Prasolov.
• Authors: Kazaryan, Maxim E; Lando, S. K (Sergei K.), 1955-; Prasolov, V. V (Viktor Vasilʹevich)
• Contents: Introduction.- 1 Preliminaries – 2 Algebraic curves.- 3 Complex structure and the topology of curves.- 4 Curves in projective spaces.- 5 Plücker formulas.- 6 Mappings of curves.- 7 Differential 1-forms on curves.- 8 Line bundles, linear systems, and divisors.- 9 Riemann–Roch formula and its applications.- 10 Proof of the Riemann–Roch formula.- 11 Weierstrass points.- 12 Abel's theorem.- 13 Examples of moduli spaces.- 14 Approaches to constructing moduli spaces.- 15 Moduli spaces of rational curves with marked points.- 16 Stable curves.- 17 A backward look from the viewpoint of characteristic classes.- 18 Moduli spaces of stable maps.- 19 Exam problems.- References.- Index.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource (xiv, 231 pages), illustrations
• Subjects: 516.3/52; Curves, Algebraic; Moduli theory; Electronic books
• Languages: English
• ISBNs: 9783030029432; 3030029433
• Related ISBNs: 9783030029425
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed January 31, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.