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In mathematics, a del Pezzo surface or Fano surface is a two-dimensional Fano variety, in other words a non-singular projective algebraic surface with ample anticanonical divisor class. They are in some sense the opposite of surfaces of general type, whose canonical class is big. They are named for Pasquale del Pezzo who studied the surfaces with the more restrictive condition that they have a very ample anticanonical divisor class, or in his language the surfaces with a degree n embedding in n-dimensional projective space, which are the del Pezzo surfaces of degree at least 3.

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  • Del Pezzo surface (en)
  • 델 페초 곡면 (ko)
  • Del Pezzo-oppervlak (nl)
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  • In mathematics, a del Pezzo surface or Fano surface is a two-dimensional Fano variety, in other words a non-singular projective algebraic surface with ample anticanonical divisor class. They are in some sense the opposite of surfaces of general type, whose canonical class is big. They are named for Pasquale del Pezzo who studied the surfaces with the more restrictive condition that they have a very ample anticanonical divisor class, or in his language the surfaces with a degree n embedding in n-dimensional projective space, which are the del Pezzo surfaces of degree at least 3. (en)
  • 대수기하학에서 델 페초 곡면(del Pezzo曲面, 영어: del Pezzo surface)은 사영 평면의 점들을 부풀려 얻을 수 있는 대수 곡면의 한 종류다. (ko)
  • In de wiskunde, is een Del Pezzo-oppervlak (of ook Fano-oppervlak) een twee-dimensionale Fano-variëteit, met andere woorden een niet-singuliere projectieve algebraïsch oppervlak met . Ze zijn in zekere zin het tegenovergestelde van , die een ruimere canonieke klasse hebben. Ze zijn vernoemd naar , die deze oppervlakken bestudeerde onder de meer beperkende voorwaarde dat zij een zeer ruime anti-canonieke delerklasse hebben, of in de taal van del Pezzo de oppervlakken met een graad n ingebed in de n-dimensionale projectieve ruimte, de del Pezzo-oppervlakken van ten minste graad 3. (nl)
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  • In mathematics, a del Pezzo surface or Fano surface is a two-dimensional Fano variety, in other words a non-singular projective algebraic surface with ample anticanonical divisor class. They are in some sense the opposite of surfaces of general type, whose canonical class is big. They are named for Pasquale del Pezzo who studied the surfaces with the more restrictive condition that they have a very ample anticanonical divisor class, or in his language the surfaces with a degree n embedding in n-dimensional projective space, which are the del Pezzo surfaces of degree at least 3. (en)
  • 대수기하학에서 델 페초 곡면(del Pezzo曲面, 영어: del Pezzo surface)은 사영 평면의 점들을 부풀려 얻을 수 있는 대수 곡면의 한 종류다. (ko)
  • In de wiskunde, is een Del Pezzo-oppervlak (of ook Fano-oppervlak) een twee-dimensionale Fano-variëteit, met andere woorden een niet-singuliere projectieve algebraïsch oppervlak met . Ze zijn in zekere zin het tegenovergestelde van , die een ruimere canonieke klasse hebben. Ze zijn vernoemd naar , die deze oppervlakken bestudeerde onder de meer beperkende voorwaarde dat zij een zeer ruime anti-canonieke delerklasse hebben, of in de taal van del Pezzo de oppervlakken met een graad n ingebed in de n-dimensionale projectieve ruimte, de del Pezzo-oppervlakken van ten minste graad 3. (nl)
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