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Frobenius Theorem and Structure of Morphisms / (Record no. 182815)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01958nam a22002537a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 260630b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Qualifying information | hbk. |
| International Standard Book Number | 9789392359378 |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.55 |
| Item number | DEM |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Author name | Demazure, Gabriel |
| 245 ## - TITLE STATEMENT | |
| Title | Frobenius Theorem and Structure of Morphisms / |
| Statement of responsibility, etc. | Gabriel Demazure. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | UK : |
| Name of publisher, distributor, etc. | Phoenix Publication, |
| Date of publication, distribution, etc. | 2023. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xiii, 275 p. : |
| Dimensions | 24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Z/2Z- graded linear algebra. Sheaves, functors and the geometric point of view. Supergeometry. Differentiable supermanifolds. The local structure of morphisms. Super Lie groups. Actions of Super Lie groups. Algebraic supergroups. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book presents a rigorous study of the Frobenius morphism, one of the central tools in algebraic geometry over fields of positive characteristic. It explains how the Frobenius map influences the structure of algebraic varieties and morphisms between schemes, and develops the theoretical framework needed to analyze finite, separable, and inseparable morphisms. The text explores the relationship between the Frobenius morphism and geometric properties such as smoothness, étaleness, and ramification, illustrating how these concepts are used to understand the behavior of algebraic objects in characteristic p.<br/>Designed for graduate students and researchers, the book combines foundational theory with modern applications in algebraic geometry and commutative algebra. It provides detailed proofs, examples, and discussions that highlight the importance of Frobenius techniques in the study of algebraic groups, varieties, and scheme morphisms, making it a valuable reference for advanced mathematical research. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| Topical term or geographic name entry element | Z/2Z- graded linear algebra. |
| Topical term or geographic name entry element | Sheaves, functors and the geometric point of view. |
| Topical term or geographic name entry element | Supergeometry. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | English Books |
| Koha item type | Home library | Current library | Shelving location | Date acquired | Accession Number | Full call number | Withdrawn status | Lost status | Not for loan | Collection |
|---|---|---|---|---|---|---|---|---|---|---|
| English Books | Kalaignar Centenary Library Madurai | Kalaignar Centenary Library Madurai | மூன்றாம் தளம் / Third floor | 25/06/2023 | 315604 | 512.55 DEM;2 | ENGLISH - LENDING BOOKS | |||
| English Books | Kalaignar Centenary Library Madurai | Kalaignar Centenary Library Madurai | மூன்றாம் தளம் / Third floor | 25/06/2023 | 315602 | 512.55 DEM | ENGLISH-REFERENCE BOOKS | |||
| English Books | Kalaignar Centenary Library Madurai | Kalaignar Centenary Library Madurai | மூன்றாம் தளம் / Third floor | 25/06/2023 | 315603 | 512.55 DEM;1 | ENGLISH - LENDING BOOKS |