{"product_id":"singular-loci-of-schubert-varieties-clear-guide-to-singular-loci","title":"Singular Loci of Schubert Varieties - Clear Guide to Singular Loci","description":"\u003cp\u003eIn this review of Singular Loci of Schubert Varieties the reviewer finds a focused, research-level treatment aimed at readers who need a consolidated account of singular loci in Schubert varieties. The single biggest reason to buy is its restructured synthesis of two decades of research, which brings together methods and computations that are otherwise scattered across many journal articles. For graduate students and researchers needing concrete computations and several methodological viewpoints, this book provides clarity and worked examples rather than a broad textbook survey.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eConsolidated research:\u003c\/strong\u003e Presents a restructured account of many research articles, making complex literature on singular loci more accessible to readers who need a single reference.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eComputation focus:\u003c\/strong\u003e Emphasizes explicit computations for the singular loci of Schubert varieties and their tangent spaces, supporting hands-on study and verification.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eMultiple methods:\u003c\/strong\u003e Uses standard monomial theory, the nil Hecke ring, and Kazhdan-Lusztig theory to offer varied approaches that illuminate different aspects of singular loci.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eNew results included:\u003c\/strong\u003e Contains new results presented alongside classical material, helping readers see current developments in the subdiscipline.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eWorked examples:\u003c\/strong\u003e Includes sufficient examples to emphasize key points, which aids in understanding abstract constructions and concrete calculations.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThis book is best for graduate students, postdocs, and researchers in representation theory, algebraic geometry, and combinatorics who require a concentrated study of \u003cstrong\u003esingular loci\u003c\/strong\u003e in Schubert varieties and the computational tools to work with them. It suits readers who already have background in algebraic geometry or related areas and want a focused reference rather than an introductory text.\u003c\/p\u003e\n\u003cp\u003eThose seeking a gentle introduction to algebraic geometry or a broad survey of Schubert calculus should look elsewhere; this work assumes familiarity with advanced techniques and concentrates on the specific topic of singular loci and tangent space computations.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eCarefully synthesizes two decades of literature into a single, coherent presentation that saves research time.\u003c\/li\u003e\n\u003cli\u003eProvides concrete computations and examples that make abstract theory more usable in practice.\u003c\/li\u003e\n\u003cli\u003eCombines several powerful methods, giving readers multiple tools to approach problems about singular loci.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eNot an introductory textbook; readers without background in algebraic geometry or representation theory may find it dense.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eSingular Loci of Schubert Varieties\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eProgress in Mathematics, 182\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthors\u003c\/td\u003e\n\u003ctd\u003eSara Billey, V. Lakshmibai\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePrimary topics\u003c\/td\u003e\n\u003ctd\u003eSingular loci, Schubert varieties, tangent spaces\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eMethods used\u003c\/td\u003e\n\u003ctd\u003eStandard monomial theory, nil Hecke ring, Kazhdan-Lusztig theory\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eContent focus\u003c\/td\u003e\n\u003ctd\u003eComputations, examples, and new results\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eSingular Loci of Schubert Varieties is a valuable, specialized reference for researchers and advanced students who need a consolidated, computation-oriented treatment of singular loci. Its combination of methods and worked examples makes it good value for those requiring depth on this subdiscipline, while beginners should supplement it with more introductory texts before diving in.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eDoes this book include worked examples?\u003c\/strong\u003e\u003cbr\u003eYes, the book presents sufficient examples alongside new results to emphasize key points in computations of singular loci.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWhat mathematical background is required?\u003c\/strong\u003e\u003cbr\u003eReaders should have prior exposure to algebraic geometry, representation theory, or combinatorics to fully benefit from the material.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWhich methods are emphasized?\u003c\/strong\u003e\u003cbr\u003eThe text uses standard monomial theory, the nil Hecke ring, and Kazhdan-Lusztig theory as central tools for studying singular loci.\u003c\/p\u003e","brand":"Sara Billey, V. Lakshmibai","offers":[{"title":"Default Title","offer_id":48258877325531,"sku":"1461270944","price":127.26,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/5190Evb0_hL._SL1252.jpg?v=1778316108","url":"https:\/\/gearmusthave.com\/products\/singular-loci-of-schubert-varieties-clear-guide-to-singular-loci","provider":"GearMustHave","version":"1.0","type":"link"}