RISS 학술연구정보서비스

검색

인기 검색어

    다국어 입력

    http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.

    변환된 중국어를 복사하여 사용하시면 됩니다.

    예시)
    • 中文 을 입력하시려면 zhongwen을 입력하시고 space를누르시면됩니다.
    • 北京 을 입력하시려면 beijing을 입력하시고 space를 누르시면 됩니다.
    닫기
    KCI등재 SCIE SCOPUS

    Complex reflection groups and K3 surfaces II. The groups ${\boldsymbol{G_{29}}}$, ${\boldsymbol{G_{30}}}$ and ${\boldsymbol{G_{31}}}$

    한글로보기

    https://www.riss.kr/link?id=A108639520

    • 0

      상세조회
    • 0

      다운로드
    서지정보 열기
    • 내보내기
    • 내책장담기
    • 공유하기
    • 오류접수

    부가정보

    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    We study some K3 surfaces obtained as minimal resolutions of quotients of subgroups of special reflection groups. Some of these were already studied in a previous paper by W.~Barth and the second author. We give here an easy proof that these are K3 surfaces, give equations in weighted projective space and describe their geometry.
    번역하기

    We study some K3 surfaces obtained as minimal resolutions of quotients of subgroups of special reflection groups. Some of these were already studied in a previous paper by W.~Barth and the second author. We give here an easy proof that these are K3 su...

    We study some K3 surfaces obtained as minimal resolutions of quotients of subgroups of special reflection groups. Some of these were already studied in a previous paper by W.~Barth and the second author. We give here an easy proof that these are K3 surfaces, give equations in weighted projective space and describe their geometry.

    더보기

    참고문헌 (Reference)

    1 A. Sarti, "Transcendental lattices of some K3-surfaces" 281 (281): 1031-1046, 2008

    2 J. C. M. Michel, "The development version of the CHEVIE package of GAP3" 435 : 308-336, 2015

    3 A.-S. Elsenhans, "The Picard group of a K3 surface and its reduction modulo p" 5 (5): 1027-1040, 2011

    4 W. Bosma, "The Magma algebra system. I. The user language" 24 (24): 235-265, 1997

    5 N. O. Nygaard, "Tate’s conjecture for K3 surfaces of finite height" 122 (122): 461-507, 1985

    6 C. Bonnafé, "Some singular curves and surfaces arising from invariants of complex reflection groups" 30 (30): 429-440, 2021

    7 G. Lusztig, "Some examples of square integrable representations of semisimple p-adic groups" 277 (277): 623-653, 1983

    8 R. M. van Luijk, "Quartic K3 surfaces without nontrivial automorphisms" 13 (13): 423-439, 2006

    9 W. P. Barth, "Polyhedral groups and pencils of K3-surfaces with maximal Picard number" 7 (7): 519-538, 2003

    10 A. Sarti, "Pencils of symmetric surfaces in P3" 246 (246): 429-452, 2001

    1 A. Sarti, "Transcendental lattices of some K3-surfaces" 281 (281): 1031-1046, 2008

    2 J. C. M. Michel, "The development version of the CHEVIE package of GAP3" 435 : 308-336, 2015

    3 A.-S. Elsenhans, "The Picard group of a K3 surface and its reduction modulo p" 5 (5): 1027-1040, 2011

    4 W. Bosma, "The Magma algebra system. I. The user language" 24 (24): 235-265, 1997

    5 N. O. Nygaard, "Tate’s conjecture for K3 surfaces of finite height" 122 (122): 461-507, 1985

    6 C. Bonnafé, "Some singular curves and surfaces arising from invariants of complex reflection groups" 30 (30): 429-440, 2021

    7 G. Lusztig, "Some examples of square integrable representations of semisimple p-adic groups" 277 (277): 623-653, 1983

    8 R. M. van Luijk, "Quartic K3 surfaces without nontrivial automorphisms" 13 (13): 423-439, 2006

    9 W. P. Barth, "Polyhedral groups and pencils of K3-surfaces with maximal Picard number" 7 (7): 519-538, 2003

    10 A. Sarti, "Pencils of symmetric surfaces in P3" 246 (246): 429-452, 2001

    11 I. Shimada, "On elliptic K3 surfaces" 47 (47): 423-446, 2000

    12 H. Inose, "On certain Kummer surfaces which can be realized as non-singular quartic surfaces in P3" 23 (23): 545-560, 1976

    13 M. Schütt, "Mordell-Weil lattices, Ergebnisse der Mathematik und ihrer Grenzgebiete" Springer 2019

    14 C. Bonnafé, "Magma codes for “Some singular curves and surfaces arising from invariants of complex reflection groups", preprint"

    15 C. Bonnafé, "K3 surfaces with maximal finite automorphism groups containing M20" 71 (71): 711-730, 2021

    16 R. M. van Luijk, "K3 surfaces with Picard number one and infinitely many rational points" 1 (1): 1-15, 2007

    17 N. Bourbaki, "Groupes et algèbres de Lie, Chapitres 4, 5, 6" Hermann 1968

    18 G. Xiao, "Galois covers between K3 surfaces" 46 (46): 73-88, 1996

    19 H. Sterk, "Finiteness results for algebraic K3 surfaces" 189 (189): 507-513, 1985

    20 G. C. Shephard, "Finite unitary reflection groups" 6 : 274-304, 1954

    21 S. Mukai, "Finite groups of automorphisms of K3 surfaces and the Mathieu group" 94 (94): 183-221, 1988

    22 B. Naskręcki, "Explicit equations of 800 conics on a Barth-Bauer quartic"

    23 M. Schütt, "Elliptic fibrations of some extremal K3 surfaces" 37 (37): 609-652, 2007

    24 S. Boissière, "Counting lines on surfaces" 6 (6): 39-52, 2007

    25 D. Festi, "Counting elliptic fibrations on K3 surfaces, preprint"

    26 C. Bonnafé, "Complex reflection groups and K3 surfaces III The group G28 = W(F4), in preparation"

    27 C. Bonnafé, "Complex reflection groups and K3 surfaces I, Épijournal Géom" 5 : 26-, 2021

    28 U. Thiel, "Champ : a Cherednik algebra Magma package" 18 (18): 266-307, 2015

    29 I. Marin, "Automorphisms of complex reflection groups" 14 : 747-788, 2010

    30 A. I. Degtyarev, "800 conics on a smooth quartic surface" 226 (226): 5-, 2022

    더보기

    동일학술지(권/호) 다른 논문

    동일학술지 더보기

    더보기

    분석정보

    View

    상세정보조회

    0

    Usage

    원문다운로드

    0

    대출신청

    0

    복사신청

    0

    EDDS신청

    0

    동일 주제 내 활용도 TOP

    더보기

    주제

    연도별 연구동향

    연도별 활용동향

    연관논문

    연구자 네트워크맵

    공동연구자 (7)

    유사연구자 (20) 활용도상위20명

    이 자료와 함께 이용한 RISS 자료

    나만을 위한 추천자료

    해외이동버튼