In mathematics, the direct image with compact (or proper) support is an image functor for sheaves that extends the compactly supported global sections functor to the relative setting. It is one of Grothendieck's six operations.
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mathematics, the directimagewithcompact (or proper) support is an image functor for sheaves that extends the compactlysupported global sections functor...
f_{*}} (or its derived functor) has to be replaced by the directimagewithcompactsupport R f ! {\displaystyle Rf_{!}} . For example, if f : X → S {\displaystyle...
morphism of quasi-compact and quasi-separated schemes, then f∗ preserves the property of being quasi-coherent, so we obtain the directimage functor between...
{\displaystyle p:X\to \star } the map to the point. Using the directimage and directimagewithcompactsupport functors p ∗ , p ! : Sh ( X ) → Sh ( ⋆ ) = Ab {\displaystyle...
f:X\to Y} , the inverse image functor is a functor from the category of sheaves on Y to the category of sheaves on X. The directimage functor is the primary...
exceptional inverse image functor, to a higher directimagewithcompactsupport functor R f ! {\displaystyle Rf_{!}} . Higher directimages are a sheafified...
question about the directimage sheaf on the ambient space. There is a strong finiteness result on sheaf cohomology. Let X be a compact Hausdorff space,...
experiences, with Windows Embedded Compact providing the technical foundation to do so. The final version of Windows Embedded Compactsupports x86 and ARM...
XZ2 Compact is an Android smartphone manufactured and marketed by Sony. Part of the Xperia X series, the device was announced to the public along with the...
system to system. CompactFlash supports C-H-S and 28-bit logical block addressing (CF 5.0 introduced support for LBA-48). CF cards with flash memory are...
in compact digital cameras generally are based on a contrast-detection methodology using the image data from the live preview feed of the main imager. Some...
implementation. The UN Global Compact is the world's largest corporate sustainability and corporate social responsibility initiative, with more than 20,000 corporate...
An image scanner—often abbreviated to just scanner—is a device that optically scans images, printed text, handwriting or an object and converts it to...
F series is a line of compact digital cameras that was known for its low-light performance in 2005, with relatively low image noise and natural colors...
2021,[update] it has no direct successor, although the XQ line is very similar. XQ line — The XQ line are compact cameras with fixed zoom lenses, X-Trans...
image sensor chips developed by Fairchild Semiconductor in 1973. The camera weighed 8 pounds (3.6 kg), recorded black-and-white images to a compact cassette...
especially Sigma cameras, can only be supported as Linear DNG. DNG can contain raw image data from sensors with various configurations of color filter...
announced to the public along with the Xperia XZ1 Compact at the annual IFA 2017 on August 31, 2017. It is the direct successor to the Sony Xperia XZ...
entirely, and that replaces it with a constant, fixed noise level. The final version of audio that goes onto a compact disc contains only 16 bits per...
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