In algebraic geometry, a relative cycle is a type of algebraic cycle on a scheme. In particular, let be a scheme of finite type over a Noetherian scheme , so that . Then a relative cycle is a cycle on which lies over the generic points of , such that the cycle has a well-defined specialization to any fiber of the projection .(Voevodsky & Suslin 2000)
The notion was introduced by Andrei Suslin and Vladimir Voevodsky in 2000; the authors were motivated to overcome some of the deficiencies of sheaves with transfers.
In algebraic geometry, a relativecycle is a type of algebraic cycle on a scheme. In particular, let X {\displaystyle X} be a scheme of finite type over...
'_{n+1}.} One says that relative homology is given by the relativecycles, chains whose boundaries are chains on A, modulo the relative boundaries (chains...
The solar cycle, also known as the solar magnetic activity cycle, sunspot cycle, or Schwabe cycle, is a nearly periodic 11-year change in the Sun's activity...
staged combustion cycle, propellant flows through multiple combustion chambers, and is thus combusted in stages. The main advantage relative to other rocket...
affecting the homology class of the cycle. This allows us to show that the inclusion map is an isomorphism, as each relativecycle is equivalent to one that avoids...
The Rankine cycle is an idealized thermodynamic cycle describing the process by which certain heat engines, such as steam turbines or reciprocating steam...
change in the frequency of a wave in relation to an observer who is moving relative to the source of the wave. The Doppler effect is named after the physicist...
the system of interest. The same amount of water vapor results in higher relative humidity in cool air than warm air. A related parameter is the dew point...
precesses in space, in an irregular fashion, completing a full cycle in about 112,000 years relative to the fixed stars. Apsidal precession occurs in the plane...
this cycle has been given a name. Once all 60 samvatsara are over, the cycle starts over again. This cycle of 60 samvatsara is based on the relative positions...
biogeochemical cycles include the carbon cycle, the nitrogen cycle and the water cycle. In each cycle, the chemical element or molecule is transformed and cycled by...
The CNO cycle (for carbon–nitrogen–oxygen; sometimes called Bethe–Weizsäcker cycle after Hans Albrecht Bethe and Carl Friedrich von Weizsäcker) is one...
The Calvin cycle, light-independent reactions, bio synthetic phase, dark reactions, or photosynthetic carbon reduction (PCR) cycle of photosynthesis is...
Noetherian scheme. An r-cycle is a formal sum of closed integral subschemes of X whose relative dimension is r; here the relative dimension of Y ⊆ X {\displaystyle...
The carbon cycle is that part of the biogeochemical cycle by which carbon is exchanged among the biosphere, pedosphere, geosphere, hydrosphere, and atmosphere...
In membrane biology, the Hodgkin cycle is a key component of membrane physiology that describes bioelectrical impulses, especially prevalent in neural...
paths and sidewalks". They found that "the relative rates for falls and injuries suggest it is safest to cycle on-road followed by off-road paths and trails...
The Cromer cycle is a thermodynamic cycle that uses a desiccant to interact with higher relative humidity air leaving a cold surface. When a system is...
Cell cycle checkpoints are control mechanisms in the eukaryotic cell cycle which ensure its proper progression. Each checkpoint serves as a potential...
to provide information about relative frequency (percentage) of cells in the major phases of the cell cycle. Cell cycle anomalies revealed on the DNA...
Relative nonlinearity is a coexistence mechanism that maintains species diversity via differences in the response to and effect on variation in resource...
Relative energy deficiency in sport (RED-S) is a syndrome in which disordered eating (or low energy availability), amenorrhoea/oligomenorrhoea (in women)...
power usage, based on stand-by power consumption and 280 cleaning cycles, relative to the standard power usage for that type of dishwasher. For a 12-place-setting...
A diurnal cycle (or diel cycle) is any pattern that recurs every 24 hours as a result of one full rotation of the planet Earth around its axis. Earth's...
Relative dating is the science of determining the relative order of past events (i.e., the age of an object in comparison to another), without necessarily...
The Metonic cycle or enneadecaeteris (from Ancient Greek: ἐννεακαιδεκαετηρίς, from ἐννεακαίδεκα, "nineteen") is a period of almost exactly 19 years after...
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