ISBN: 9783110577365 - affine space fibrations (de gruyter studies in mathematics, 79) (4 Ergebnisse)

Hardcover. Zustand: Near Fine. 1st Edition. Hardcover, xi + 346 pages, NOT ex-library. Limited gentle handling wear, book is clean and bright with unmarked text, free of inscriptions and stamps, firmly bound. Issued without a dust jacket. -- This research monograph confronts a fundamental and surprisingly difficult question in algebraic geometry: if you have a geometric object (an affine variety) that is formed by stacking affine spaces (like lines or planes), what can you say about its structure? This question is central to famous unsolved problems like the Zariski Cancellation Problem. The analysis provides a comprehensive toolbox for tackling these questions, with a deep focus on developing and using special algebraic "invariants" - properties that remain unchanged even when the variety is transformed. These tools, such as the Makar-Limanov and Derksen invariants, are then rigorously applied to distinguish between geometric objects that look superficially similar but are fundamentally different, with special attention paid to key counterexamples like Danielewski surfaces. The work serves as a self-contained guide, consolidating decades of advanced research into a coherent and systematic exposition.…

Zustand: As New. Unread book in perfect condition.

Gebunden. Zustand: New. The series De Gruyter Studies in Mathematics was founded in 1982 by the late Professor Heinz Bauer and Professor Peter Gabriel. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical .

Buch. Zustand: Neu. Neuware - Affine algebraic geometry has progressed remarkably in the last half a century, and its central topics are affine spaces and affine space fibrations. This authoritative book is aimed at graduate students and researchers alike, and studies the geometry and topology of morphisms of algebraic varieties whose general fibers are isomorphic to the affine space while describing structures of algebraic varieties with such affine space fibrations.…