query: Compact Riemann surfaces are projective varieties
positive_passages.docid: 22818
positive_passages.text: Riemann surfaces are algebraic
negative_passages.docid: 95779
negative_passages.text: Torus and Elliptic curves
negative_passages.docid: 58028
negative_passages.text: Semisimplicity is equivalent to each simple left module is projective?
negative_passages.docid: 128334
negative_passages.text: Question regarding open covers in Zariski topology (distinguished opens of affine schemes are quasi-compact)
negative_passages.docid: 140612
negative_passages.text: Two homologous but not homotopic loops on a closed surface of genus greater than one
negative_passages.docid: 99737
negative_passages.text: Using Rouché's theorem to find a compact domain for the roots of a polynomial
negative_passages.docid: 146215
negative_passages.text: Metric on a Quotient of the Riemann Sphere
negative_passages.docid: 73458
negative_passages.text: Double cover of $GL(n,\mathbb{C})$.
negative_passages.docid: 3474
negative_passages.text: 3 questions about Algebraic Geometry and Zariski topology
negative_passages.docid: 27096
negative_passages.text: Hilbert polynomial of an hypersurface in projective space
negative_passages.docid: 106629
negative_passages.text: Trace map from finite surjective morphism of normal irreducible varieties
negative_passages.docid: 123370
negative_passages.text: Can every semi-algebraic set be written as a finite union of disjoint Nash submanifolds?
negative_passages.docid: 118987
negative_passages.text: Birational map from elliptic curve keeps smoothness?
negative_passages.docid: 147197
negative_passages.text: Number of connected components of the complement of a compact
negative_passages.docid: 125251
negative_passages.text: Show that a function from a Riemann Surface $g:Y\to\mathbb{C}$ is holomorphic iff its composition with a proper holomorphic map is holomorphic.
negative_passages.docid: 6323
negative_passages.text: existence of complex structure in dimension 2
negative_passages.docid: 37092
negative_passages.text: Homeomorphism between a cone in a compact space and this compactification