RUANG PROYEKTIF KOMPLEKS 〖CP〗^n ADALAH MANIFOLD KOMPLEKS

Authors

  • Denik Agustito Universitas Sarjanawiyata Tamansiswa, Jl. Batikan UH-III/1043, Yogyakarta;
  • Irham Taufiq Universitas Sarjanawiyata Tamansiswa, Jl. Batikan UH-III/1043, Yogyakarta
  • Dafid Slamet Setiana Universitas Sarjanawiyata Tamansiswa, Jl. Batikan UH-III/1043, Yogyakarta
  • Riawan Yudi Purwoko Universitas Muhammadiyah Purworejo, Jawa Tengah http://orcid.org/0000-0003-4931-7917

DOI:

https://doi.org/10.31941/delta.v9i1.1268

Keywords:

complex, manifold, projective

Abstract

The purpose of this paper to determine the complex projective space  as a complex manifold is to calculate the cohomology of the coherent sheaves of . The research method in this paper is to construct an -dimensional complex projective space, namely  and then the n-dimensional complex projective space, namely , is a complex manifold. The result of this research is the -dimensional complex projective space, namely is a complex and compact manifold.

Author Biography

Riawan Yudi Purwoko, Universitas Muhammadiyah Purworejo, Jawa Tengah

https://scholar.google.co.id/citations?hl=id&view_op=list_works&gmla=AJsN-F5xl0PP6HvE7EFbU
(Scopus ID: 57211274297) Department of Mathematics Education, Universitas Muhammadiyah Purworejo, Purworejo, Indonesia, Indonesia

 

References

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Kasilingam, R,. 2016,. Classification of Smooth Structures on a Homotopy Complex Projective Space,. Proc. Indian Acad. Sci (Math.Sci). Vol. 126, No. 2, May 2016, pp.277-281, Inidian Academy of Sciences.

Movasati, H. & Vilaflor, R. (2020). A Course in Hodge Theory: Periods of Algebraic Cycles. Publisher.

Movasati, H. (2020). A Course in Hodge Theory: With Emphasis on Multiple Integrals. Boston: International Press.

Nicolaescu, L.I. (2018). Lectures on the Geometry of Manifolds. Washington: World Scientific.

Tu, L.W. (1982). An Introduction to Manifolds. New York: Springer.

Voisin, C,. 2002, Hodge Theory and Complex Algebraic Geometry I, Cambridge, Cambridge University Press.

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Published

2021-01-17

Issue

Vol. 9 No. 1 (2021): Delta : Jurnal Ilmiah Pendidikan Matematika

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