Moduli spaces of elliptic curves and quotient curves by certain automorphism groups / (Record no. 178909)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04503namaa22004451i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | EG-GICUC |
| 005 - أخر تعامل مع التسجيلة | |
| control field | 20260312111920.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 260307s2025 ua a|||frm||| 000 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloguing agency | EG-GICUC |
| Language of cataloging | eng |
| Transcribing agency | EG-GICUC |
| Modifying agency | EG-GICUC |
| Description conventions | rda |
| 041 0# - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| Language code of summary or abstract | eng |
| -- | ara |
| 049 ## - Acquisition Source | |
| Acquisition Source | Deposit |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 |
| 092 ## - LOCALLY ASSIGNED DEWEY CALL NUMBER (OCLC) | |
| Classification number | 510 |
| Edition number | 21 |
| 097 ## - Degree | |
| Degree | Ph.D |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Local Call Number | Cai01.12.17.Ph.D.2025.Mo.M |
| 100 0# - MAIN ENTRY--PERSONAL NAME | |
| Authority record control number or standard number | Mohammed Gamal Kamel Asraan, |
| Preparation | preparation. |
| 245 10 - TITLE STATEMENT | |
| Title | Moduli spaces of elliptic curves and quotient curves by certain automorphism groups / |
| Statement of responsibility, etc. | by Mohammed Gamal Kamel Asraan ; Supervisors Prof. Dr. Francesc Bars, Prof. Dr. Ahmad Mostafa El-Guindy, Dr. Eslam Essam Ibrahim Badr. |
| 246 15 - VARYING FORM OF TITLE | |
| Title proper/short title | فضاءات التناسق للمنحنيات الناقصية و منحنيات القسمة على زمر تشاكل معينة |
| 264 #0 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | 2025. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 167 pages : |
| Other physical details | illustrations ; |
| Dimensions | 25 cm. + |
| Accompanying material | CD. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rda content |
| 337 ## - MEDIA TYPE | |
| Media type term | Unmediated |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | volume |
| Source | rdacarrier |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (Ph.D)-Cairo University, 2025. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Bibliography: pages 159-163. |
| 520 #3 - SUMMARY, ETC. | |
| Summary, etc. | 1.0 This thesis explores key topics in arithmetic geometry, focusing on quotient modular curves and smooth plane curves. For an integer N≥1 and a non-trivial subgroup W_N of the Atkin-Lehner involution group of X_0 (N), we classify all pairs (N,W_N) such that the quotient curve X_0 (N)/W_N is bielliptic. Additionally, we identify the pairs (N,W_N) for which X_0 (N)/W_N possesses infinitely many quadratic points over Q, analyzing both square-free and non-square-free cases of N.<br/>The thesis further investigates the automorphism groups and signatures of smooth plane septic curves defined over an algebraically closed field K of characteristic 0. For each automorphism group, we construct a geometrically complete family over K, providing generic defining polynomial equations that describe each locus up to K-projective equivalence. Notably, we introduce two distinct examples of final strata, representing novel contributions to the classification of smooth plane curves. |
| 520 #3 - SUMMARY, ETC. | |
| Summary, etc. | هذه الأطروحة تستكشف موضوعات رئيسية في الهندسة الحسابية، مع التركيز على منحنيات القسمة النمطية والمنحنيات المستوية غير شاذة. بالنسبة لعدد صحيح N≥1 وزمرة فرعية غير تافهة W_N من زمرة الانقلاب لأتكين-ليهنر الخاصة بـ X_0 (N) ، نقوم بتصنيف جميع الأزواج (N,W_N) بحيث يكون منحنى القسمةX_0 (N)/W_N ثنائي الإهليلج. بالإضافة إلى ذلك، نحدد الأزواج (N,W_N) التي يكون فيها X_0 (N)/W_N يحتوي على عدد لا نهائي من النقاط التربيعية فوق (N,W_N)، مع تحليل كل من الحالات التي يكون فيها N خاليًا من المربعات وغير خالٍ من المربعات.<br/>وتبحث الأطروحة أيضًا في زمر التشاكلات والتوقيعات للمنحنيات المستوية الملساء من الدرجة السابعة المعرفة فوق حقل مغلق جبريًا K من الخاصية 0. لكل زمرة تشاكلات، نقوم ببناء عائلة هندسية كاملة فوق K ، مع تقديم معادلات حدودية عامة تصف كل موضع حتى التكافؤ الإسقاطي. K ومن الجدير بالذكر أننا نقدم مثالين متميزين لـطبقات نهائية، مما يمثل إسهامات جديدة في تصنيف المنحنيات المستوية الملساء. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Issues CD | Issues also as CD. |
| 546 ## - LANGUAGE NOTE | |
| Text Language | Text in English and abstract in Arabic & English. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | الرياضيات البحته |
| 653 #1 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Modular curve |
| -- | Atkin-Lehner involution |
| -- | bielliptic curve |
| -- | quadratic Points |
| -- | Plane curves |
| -- | automorphism groups |
| -- | signature |
| -- | الجنين |
| -- | الفرز المغناطيسي |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Francesc Bars |
| Relator term | thesis advisor. |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ahmad Mostafa El-Guindy |
| Relator term | thesis advisor. |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Eslam Essam Ibrahim Badr |
| Relator term | thesis advisor. |
| 900 ## - Thesis Information | |
| Grant date | 01-01-2025 |
| Supervisory body | Francesc Bars |
| -- | Ahmad Mostafa El-Guindy |
| -- | Eslam Essam Ibrahim Badr |
| Universities | Cairo University |
| Faculties | Faculty of Science |
| Department | Department of Pure Mathematics |
| 905 ## - Cataloger and Reviser Names | |
| Cataloger Name | Shimaa |
| Reviser Names | Eman Ghareb |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Thesis |
| Edition | 21 |
| Suppress in OPAC | No |
| Source of classification or shelving scheme | Home library | Current library | Date acquired | Inventory number | Full call number | Barcode | Date last seen | Effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | قاعة الرسائل الجامعية - الدور الاول | 07.03.2026 | 93501 | Cai01.12.17.Ph.D.2025.Mo.M | 01010110093501000 | 07.03.2026 | 07.03.2026 | Thesis |